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Finding the Fourth Proportional to 676.59, 932.43 and 664.62

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Solution

The fourth proportional to 676.59, 932.43 and 664.62 is: 915.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.59 : 932.43 = 664.62 : x
  2. Step 2: Convert to fraction form
    676.59/932.43 = 664.62/x
  3. Step 3: Cross multiply
    676.59x = 932.43 × 664.62
  4. Step 4: Simplify right side
    676.59x = 619,711.63
  5. Step 5: Solve for x
    x = 619,711.63/676.59
  6. Step 6: Final answer
    x = 915.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.