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Finding the Fourth Proportional to 689.59, 1,034.38 and 417.43

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Solution

The fourth proportional to 689.59, 1,034.38 and 417.43 is: 626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.59 : 1,034.38 = 417.43 : x
  2. Step 2: Convert to fraction form
    689.59/1,034.38 = 417.43/x
  3. Step 3: Cross multiply
    689.59x = 1,034.38 × 417.43
  4. Step 4: Simplify right side
    689.59x = 431,781.24
  5. Step 5: Solve for x
    x = 431,781.24/689.59
  6. Step 6: Final answer
    x = 626.14

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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.