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Finding the Fourth Proportional to 775.34, 1,068 and 724.32

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Solution

The fourth proportional to 775.34, 1,068 and 724.32 is: 997.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.34 : 1,068 = 724.32 : x
  2. Step 2: Convert to fraction form
    775.34/1,068 = 724.32/x
  3. Step 3: Cross multiply
    775.34x = 1,068 × 724.32
  4. Step 4: Simplify right side
    775.34x = 773,573.76
  5. Step 5: Solve for x
    x = 773,573.76/775.34
  6. Step 6: Final answer
    x = 997.72

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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.