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Finding the Fourth Proportional to 649.77, 974.85 and 239.01

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Solution

The fourth proportional to 649.77, 974.85 and 239.01 is: 358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.77 : 974.85 = 239.01 : x
  2. Step 2: Convert to fraction form
    649.77/974.85 = 239.01/x
  3. Step 3: Cross multiply
    649.77x = 974.85 × 239.01
  4. Step 4: Simplify right side
    649.77x = 232,998.90
  5. Step 5: Solve for x
    x = 232,998.90/649.77
  6. Step 6: Final answer
    x = 358.59

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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.