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Finding the Fourth Proportional to 884.31, 1,319.88 and 760.38

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Solution

The fourth proportional to 884.31, 1,319.88 and 760.38 is: 1,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.31 : 1,319.88 = 760.38 : x
  2. Step 2: Convert to fraction form
    884.31/1,319.88 = 760.38/x
  3. Step 3: Cross multiply
    884.31x = 1,319.88 × 760.38
  4. Step 4: Simplify right side
    884.31x = 1,003,610.35
  5. Step 5: Solve for x
    x = 1,003,610.35/884.31
  6. Step 6: Final answer
    x = 1,134.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.