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Finding the Fourth Proportional to 1,198.76, 1,654.36 and 733.10

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Solution

The fourth proportional to 1,198.76, 1,654.36 and 733.10 is: 1,011.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.76 : 1,654.36 = 733.10 : x
  2. Step 2: Convert to fraction form
    1,198.76/1,654.36 = 733.10/x
  3. Step 3: Cross multiply
    1,198.76x = 1,654.36 × 733.10
  4. Step 4: Simplify right side
    1,198.76x = 1,212,811.32
  5. Step 5: Solve for x
    x = 1,212,811.32/1,198.76
  6. Step 6: Final answer
    x = 1,011.72

Related Problems

Find fourth proportional to 599.38, 827.18 and 366.55
Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.