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Finding the Fourth Proportional to 691.67, 1,036.22 and 431.53

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Solution

The fourth proportional to 691.67, 1,036.22 and 431.53 is: 646.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.67 : 1,036.22 = 431.53 : x
  2. Step 2: Convert to fraction form
    691.67/1,036.22 = 431.53/x
  3. Step 3: Cross multiply
    691.67x = 1,036.22 × 431.53
  4. Step 4: Simplify right side
    691.67x = 447,160.02
  5. Step 5: Solve for x
    x = 447,160.02/691.67
  6. Step 6: Final answer
    x = 646.49

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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.