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Finding the Fourth Proportional to 691.59, 1,037.38 and 419.43

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Solution

The fourth proportional to 691.59, 1,037.38 and 419.43 is: 629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.59 : 1,037.38 = 419.43 : x
  2. Step 2: Convert to fraction form
    691.59/1,037.38 = 419.43/x
  3. Step 3: Cross multiply
    691.59x = 1,037.38 × 419.43
  4. Step 4: Simplify right side
    691.59x = 435,108.29
  5. Step 5: Solve for x
    x = 435,108.29/691.59
  6. Step 6: Final answer
    x = 629.14

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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.