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Finding the Fourth Proportional to 853.52, 1,177.50 and 538.68

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Solution

The fourth proportional to 853.52, 1,177.50 and 538.68 is: 743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.52 : 1,177.50 = 538.68 : x
  2. Step 2: Convert to fraction form
    853.52/1,177.50 = 538.68/x
  3. Step 3: Cross multiply
    853.52x = 1,177.50 × 538.68
  4. Step 4: Simplify right side
    853.52x = 634,295.70
  5. Step 5: Solve for x
    x = 634,295.70/853.52
  6. Step 6: Final answer
    x = 743.16

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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.