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Finding the Fourth Proportional to 498.28, 742.24 and 470.92

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Solution

The fourth proportional to 498.28, 742.24 and 470.92 is: 701.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.28 : 742.24 = 470.92 : x
  2. Step 2: Convert to fraction form
    498.28/742.24 = 470.92/x
  3. Step 3: Cross multiply
    498.28x = 742.24 × 470.92
  4. Step 4: Simplify right side
    498.28x = 349,535.66
  5. Step 5: Solve for x
    x = 349,535.66/498.28
  6. Step 6: Final answer
    x = 701.48

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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.