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Finding the Fourth Proportional to 1,164.50, 1,607.01 and 633.39

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Solution

The fourth proportional to 1,164.50, 1,607.01 and 633.39 is: 874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.50 : 1,607.01 = 633.39 : x
  2. Step 2: Convert to fraction form
    1,164.50/1,607.01 = 633.39/x
  3. Step 3: Cross multiply
    1,164.50x = 1,607.01 × 633.39
  4. Step 4: Simplify right side
    1,164.50x = 1,017,855.66
  5. Step 5: Solve for x
    x = 1,017,855.66/1,164.50
  6. Step 6: Final answer
    x = 874.07

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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.