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Finding the Fourth Proportional to 663.63, 915.89 and 497.57

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Solution

The fourth proportional to 663.63, 915.89 and 497.57 is: 686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.63 : 915.89 = 497.57 : x
  2. Step 2: Convert to fraction form
    663.63/915.89 = 497.57/x
  3. Step 3: Cross multiply
    663.63x = 915.89 × 497.57
  4. Step 4: Simplify right side
    663.63x = 455,712.32
  5. Step 5: Solve for x
    x = 455,712.32/663.63
  6. Step 6: Final answer
    x = 686.70

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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.