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Finding the Fourth Proportional to 456.72, 686.82 and 364.38

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Solution

The fourth proportional to 456.72, 686.82 and 364.38 is: 547.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.72 : 686.82 = 364.38 : x
  2. Step 2: Convert to fraction form
    456.72/686.82 = 364.38/x
  3. Step 3: Cross multiply
    456.72x = 686.82 × 364.38
  4. Step 4: Simplify right side
    456.72x = 250,263.47
  5. Step 5: Solve for x
    x = 250,263.47/456.72
  6. Step 6: Final answer
    x = 547.96

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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.