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Finding the Fourth Proportional to 753.92, 1,126.56 and 574.84

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Solution

The fourth proportional to 753.92, 1,126.56 and 574.84 is: 858.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.92 : 1,126.56 = 574.84 : x
  2. Step 2: Convert to fraction form
    753.92/1,126.56 = 574.84/x
  3. Step 3: Cross multiply
    753.92x = 1,126.56 × 574.84
  4. Step 4: Simplify right side
    753.92x = 647,583.24
  5. Step 5: Solve for x
    x = 647,583.24/753.92
  6. Step 6: Final answer
    x = 858.95

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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.