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Finding the Fourth Proportional to 688.74, 951.24 and 467.31

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Solution

The fourth proportional to 688.74, 951.24 and 467.31 is: 645.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.74 : 951.24 = 467.31 : x
  2. Step 2: Convert to fraction form
    688.74/951.24 = 467.31/x
  3. Step 3: Cross multiply
    688.74x = 951.24 × 467.31
  4. Step 4: Simplify right side
    688.74x = 444,523.96
  5. Step 5: Solve for x
    x = 444,523.96/688.74
  6. Step 6: Final answer
    x = 645.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.