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Finding the Fourth Proportional to 691.67, 1,037.01 and 357.29

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Solution

The fourth proportional to 691.67, 1,037.01 and 357.29 is: 535.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.67 : 1,037.01 = 357.29 : x
  2. Step 2: Convert to fraction form
    691.67/1,037.01 = 357.29/x
  3. Step 3: Cross multiply
    691.67x = 1,037.01 × 357.29
  4. Step 4: Simplify right side
    691.67x = 370,518.17
  5. Step 5: Solve for x
    x = 370,518.17/691.67
  6. Step 6: Final answer
    x = 535.68

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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.