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Finding the Fourth Proportional to 497.48, 748.49 and 395.87

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Solution

The fourth proportional to 497.48, 748.49 and 395.87 is: 595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    497.48 : 748.49 = 395.87 : x
  2. Step 2: Convert to fraction form
    497.48/748.49 = 395.87/x
  3. Step 3: Cross multiply
    497.48x = 748.49 × 395.87
  4. Step 4: Simplify right side
    497.48x = 296,299.01
  5. Step 5: Solve for x
    x = 296,299.01/497.48
  6. Step 6: Final answer
    x = 595.61

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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.