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Finding the Fourth Proportional to 623.14, 932.68 and 458.57

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Solution

The fourth proportional to 623.14, 932.68 and 458.57 is: 686.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.14 : 932.68 = 458.57 : x
  2. Step 2: Convert to fraction form
    623.14/932.68 = 458.57/x
  3. Step 3: Cross multiply
    623.14x = 932.68 × 458.57
  4. Step 4: Simplify right side
    623.14x = 427,694.40
  5. Step 5: Solve for x
    x = 427,694.40/623.14
  6. Step 6: Final answer
    x = 686.35

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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.