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Finding the Fourth Proportional to 649.90, 979.22 and 588.27

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Solution

The fourth proportional to 649.90, 979.22 and 588.27 is: 886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.90 : 979.22 = 588.27 : x
  2. Step 2: Convert to fraction form
    649.90/979.22 = 588.27/x
  3. Step 3: Cross multiply
    649.90x = 979.22 × 588.27
  4. Step 4: Simplify right side
    649.90x = 576,045.75
  5. Step 5: Solve for x
    x = 576,045.75/649.90
  6. Step 6: Final answer
    x = 886.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.