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Finding the Fourth Proportional to 1,016.57, 1,524.92 and 431.01

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Solution

The fourth proportional to 1,016.57, 1,524.92 and 431.01 is: 646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.57 : 1,524.92 = 431.01 : x
  2. Step 2: Convert to fraction form
    1,016.57/1,524.92 = 431.01/x
  3. Step 3: Cross multiply
    1,016.57x = 1,524.92 × 431.01
  4. Step 4: Simplify right side
    1,016.57x = 657,253.61
  5. Step 5: Solve for x
    x = 657,253.61/1,016.57
  6. Step 6: Final answer
    x = 646.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.