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Finding the Fourth Proportional to 655.09, 903.56 and 542.70

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Solution

The fourth proportional to 655.09, 903.56 and 542.70 is: 748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.09 : 903.56 = 542.70 : x
  2. Step 2: Convert to fraction form
    655.09/903.56 = 542.70/x
  3. Step 3: Cross multiply
    655.09x = 903.56 × 542.70
  4. Step 4: Simplify right side
    655.09x = 490,359.30
  5. Step 5: Solve for x
    x = 490,359.30/655.09
  6. Step 6: Final answer
    x = 748.54

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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.