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Finding the Fourth Proportional to 498.24, 748.32 and 412.76

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Solution

The fourth proportional to 498.24, 748.32 and 412.76 is: 619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.24 : 748.32 = 412.76 : x
  2. Step 2: Convert to fraction form
    498.24/748.32 = 412.76/x
  3. Step 3: Cross multiply
    498.24x = 748.32 × 412.76
  4. Step 4: Simplify right side
    498.24x = 308,876.56
  5. Step 5: Solve for x
    x = 308,876.56/498.24
  6. Step 6: Final answer
    x = 619.94

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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.