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Finding the Fourth Proportional to 462.17, 634.19 and 420.40

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Solution

The fourth proportional to 462.17, 634.19 and 420.40 is: 576.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.17 : 634.19 = 420.40 : x
  2. Step 2: Convert to fraction form
    462.17/634.19 = 420.40/x
  3. Step 3: Cross multiply
    462.17x = 634.19 × 420.40
  4. Step 4: Simplify right side
    462.17x = 266,612.94
  5. Step 5: Solve for x
    x = 266,612.94/462.17
  6. Step 6: Final answer
    x = 576.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.