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Finding the Fourth Proportional to 461.62, 688.19 and 425.08

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Solution

The fourth proportional to 461.62, 688.19 and 425.08 is: 633.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.62 : 688.19 = 425.08 : x
  2. Step 2: Convert to fraction form
    461.62/688.19 = 425.08/x
  3. Step 3: Cross multiply
    461.62x = 688.19 × 425.08
  4. Step 4: Simplify right side
    461.62x = 292,535.81
  5. Step 5: Solve for x
    x = 292,535.81/461.62
  6. Step 6: Final answer
    x = 633.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.