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Finding the Fourth Proportional to 455.52, 686.22 and 432.88

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Solution

The fourth proportional to 455.52, 686.22 and 432.88 is: 652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.52 : 686.22 = 432.88 : x
  2. Step 2: Convert to fraction form
    455.52/686.22 = 432.88/x
  3. Step 3: Cross multiply
    455.52x = 686.22 × 432.88
  4. Step 4: Simplify right side
    455.52x = 297,050.91
  5. Step 5: Solve for x
    x = 297,050.91/455.52
  6. Step 6: Final answer
    x = 652.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.