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Finding the Fourth Proportional to 657.72, 979.65 and 649.17

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Solution

The fourth proportional to 657.72, 979.65 and 649.17 is: 966.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.72 : 979.65 = 649.17 : x
  2. Step 2: Convert to fraction form
    657.72/979.65 = 649.17/x
  3. Step 3: Cross multiply
    657.72x = 979.65 × 649.17
  4. Step 4: Simplify right side
    657.72x = 635,959.39
  5. Step 5: Solve for x
    x = 635,959.39/657.72
  6. Step 6: Final answer
    x = 966.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.