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Finding the Fourth Proportional to 542.89, 748.60 and 491.05

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Solution

The fourth proportional to 542.89, 748.60 and 491.05 is: 677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.89 : 748.60 = 491.05 : x
  2. Step 2: Convert to fraction form
    542.89/748.60 = 491.05/x
  3. Step 3: Cross multiply
    542.89x = 748.60 × 491.05
  4. Step 4: Simplify right side
    542.89x = 367,600.03
  5. Step 5: Solve for x
    x = 367,600.03/542.89
  6. Step 6: Final answer
    x = 677.12

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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.