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Finding the Fourth Proportional to 723.32, 1,083.20 and 568.86

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Solution

The fourth proportional to 723.32, 1,083.20 and 568.86 is: 851.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.32 : 1,083.20 = 568.86 : x
  2. Step 2: Convert to fraction form
    723.32/1,083.20 = 568.86/x
  3. Step 3: Cross multiply
    723.32x = 1,083.20 × 568.86
  4. Step 4: Simplify right side
    723.32x = 616,189.15
  5. Step 5: Solve for x
    x = 616,189.15/723.32
  6. Step 6: Final answer
    x = 851.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.