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Finding the Fourth Proportional to 649.76, 974.61 and 233.28

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Solution

The fourth proportional to 649.76, 974.61 and 233.28 is: 349.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.76 : 974.61 = 233.28 : x
  2. Step 2: Convert to fraction form
    649.76/974.61 = 233.28/x
  3. Step 3: Cross multiply
    649.76x = 974.61 × 233.28
  4. Step 4: Simplify right side
    649.76x = 227,357.02
  5. Step 5: Solve for x
    x = 227,357.02/649.76
  6. Step 6: Final answer
    x = 349.91

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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.