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Finding the Fourth Proportional to 456.84, 686.57 and 425.66

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Solution

The fourth proportional to 456.84, 686.57 and 425.66 is: 639.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.84 : 686.57 = 425.66 : x
  2. Step 2: Convert to fraction form
    456.84/686.57 = 425.66/x
  3. Step 3: Cross multiply
    456.84x = 686.57 × 425.66
  4. Step 4: Simplify right side
    456.84x = 292,239.83
  5. Step 5: Solve for x
    x = 292,239.83/456.84
  6. Step 6: Final answer
    x = 639.70

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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.