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Finding the Fourth Proportional to 691.63, 1,034.99 and 431.41

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Solution

The fourth proportional to 691.63, 1,034.99 and 431.41 is: 645.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.63 : 1,034.99 = 431.41 : x
  2. Step 2: Convert to fraction form
    691.63/1,034.99 = 431.41/x
  3. Step 3: Cross multiply
    691.63x = 1,034.99 × 431.41
  4. Step 4: Simplify right side
    691.63x = 446,505.04
  5. Step 5: Solve for x
    x = 446,505.04/691.63
  6. Step 6: Final answer
    x = 645.58

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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.