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Finding the Fourth Proportional to 542.48, 748.61 and 377.01

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Solution

The fourth proportional to 542.48, 748.61 and 377.01 is: 520.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.48 : 748.61 = 377.01 : x
  2. Step 2: Convert to fraction form
    542.48/748.61 = 377.01/x
  3. Step 3: Cross multiply
    542.48x = 748.61 × 377.01
  4. Step 4: Simplify right side
    542.48x = 282,231.57
  5. Step 5: Solve for x
    x = 282,231.57/542.48
  6. Step 6: Final answer
    x = 520.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.