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Finding the Fourth Proportional to 462.20, 688.32 and 434.25

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Solution

The fourth proportional to 462.20, 688.32 and 434.25 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.20 : 688.32 = 434.25 : x
  2. Step 2: Convert to fraction form
    462.20/688.32 = 434.25/x
  3. Step 3: Cross multiply
    462.20x = 688.32 × 434.25
  4. Step 4: Simplify right side
    462.20x = 298,902.96
  5. Step 5: Solve for x
    x = 298,902.96/462.20
  6. Step 6: Final answer
    x = 646.70

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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.