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Finding the Fourth Proportional to 853, 1,177.14 and 542.50

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Solution

The fourth proportional to 853, 1,177.14 and 542.50 is: 748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    853 : 1,177.14 = 542.50 : x
  2. Step 2: Convert to fraction form
    853/1,177.14 = 542.50/x
  3. Step 3: Cross multiply
    853x = 1,177.14 × 542.50
  4. Step 4: Simplify right side
    853x = 638,598.45
  5. Step 5: Solve for x
    x = 638,598.45/853
  6. Step 6: Final answer
    x = 748.65

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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.