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Finding the Fourth Proportional to 506.18, 754.60 and 498.29

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Solution

The fourth proportional to 506.18, 754.60 and 498.29 is: 742.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.18 : 754.60 = 498.29 : x
  2. Step 2: Convert to fraction form
    506.18/754.60 = 498.29/x
  3. Step 3: Cross multiply
    506.18x = 754.60 × 498.29
  4. Step 4: Simplify right side
    506.18x = 376,005.55
  5. Step 5: Solve for x
    x = 376,005.55/506.18
  6. Step 6: Final answer
    x = 742.83

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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.