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Finding the Fourth Proportional to 1,198.74, 1,644.52 and 1,187.40

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Solution

The fourth proportional to 1,198.74, 1,644.52 and 1,187.40 is: 1,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.74 : 1,644.52 = 1,187.40 : x
  2. Step 2: Convert to fraction form
    1,198.74/1,644.52 = 1,187.40/x
  3. Step 3: Cross multiply
    1,198.74x = 1,644.52 × 1,187.40
  4. Step 4: Simplify right side
    1,198.74x = 1,952,700.08
  5. Step 5: Solve for x
    x = 1,952,700.08/1,198.74
  6. Step 6: Final answer
    x = 1,628.96

Related Problems

Find fourth proportional to 599.37, 822.26 and 593.70
Half scale
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Double scale
Find fourth proportional to 1,199.74, 1,645.89 and 1,188.40
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.