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Finding the Fourth Proportional to 498.70, 748.02 and 417.28

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Solution

The fourth proportional to 498.70, 748.02 and 417.28 is: 625.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.70 : 748.02 = 417.28 : x
  2. Step 2: Convert to fraction form
    498.70/748.02 = 417.28/x
  3. Step 3: Cross multiply
    498.70x = 748.02 × 417.28
  4. Step 4: Simplify right side
    498.70x = 312,133.79
  5. Step 5: Solve for x
    x = 312,133.79/498.70
  6. Step 6: Final answer
    x = 625.89

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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.