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Finding the Fourth Proportional to 818.57, 1,129.79 and 538.31

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Solution

The fourth proportional to 818.57, 1,129.79 and 538.31 is: 742.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.57 : 1,129.79 = 538.31 : x
  2. Step 2: Convert to fraction form
    818.57/1,129.79 = 538.31/x
  3. Step 3: Cross multiply
    818.57x = 1,129.79 × 538.31
  4. Step 4: Simplify right side
    818.57x = 608,177.25
  5. Step 5: Solve for x
    x = 608,177.25/818.57
  6. Step 6: Final answer
    x = 742.98

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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.