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Finding the Fourth Proportional to 470.73, 649.56 and 304.88

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Solution

The fourth proportional to 470.73, 649.56 and 304.88 is: 420.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.73 : 649.56 = 304.88 : x
  2. Step 2: Convert to fraction form
    470.73/649.56 = 304.88/x
  3. Step 3: Cross multiply
    470.73x = 649.56 × 304.88
  4. Step 4: Simplify right side
    470.73x = 198,034.61
  5. Step 5: Solve for x
    x = 198,034.61/470.73
  6. Step 6: Final answer
    x = 420.70

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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.