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Finding the Fourth Proportional to 773.92, 1,068.18 and 537.80

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Solution

The fourth proportional to 773.92, 1,068.18 and 537.80 is: 742.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.92 : 1,068.18 = 537.80 : x
  2. Step 2: Convert to fraction form
    773.92/1,068.18 = 537.80/x
  3. Step 3: Cross multiply
    773.92x = 1,068.18 × 537.80
  4. Step 4: Simplify right side
    773.92x = 574,467.20
  5. Step 5: Solve for x
    x = 574,467.20/773.92
  6. Step 6: Final answer
    x = 742.28

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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.