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Finding the Fourth Proportional to 498.80, 685.14 and 411.28

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Solution

The fourth proportional to 498.80, 685.14 and 411.28 is: 564.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.80 : 685.14 = 411.28 : x
  2. Step 2: Convert to fraction form
    498.80/685.14 = 411.28/x
  3. Step 3: Cross multiply
    498.80x = 685.14 × 411.28
  4. Step 4: Simplify right side
    498.80x = 281,784.38
  5. Step 5: Solve for x
    x = 281,784.38/498.80
  6. Step 6: Final answer
    x = 564.92

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.