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Finding the Fourth Proportional to 456.96, 686.52 and 421.32

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Solution

The fourth proportional to 456.96, 686.52 and 421.32 is: 632.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.96 : 686.52 = 421.32 : x
  2. Step 2: Convert to fraction form
    456.96/686.52 = 421.32/x
  3. Step 3: Cross multiply
    456.96x = 686.52 × 421.32
  4. Step 4: Simplify right side
    456.96x = 289,244.61
  5. Step 5: Solve for x
    x = 289,244.61/456.96
  6. Step 6: Final answer
    x = 632.98

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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.