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Finding the Fourth Proportional to 753.56, 1,129.32 and 591.29

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Solution

The fourth proportional to 753.56, 1,129.32 and 591.29 is: 886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.56 : 1,129.32 = 591.29 : x
  2. Step 2: Convert to fraction form
    753.56/1,129.32 = 591.29/x
  3. Step 3: Cross multiply
    753.56x = 1,129.32 × 591.29
  4. Step 4: Simplify right side
    753.56x = 667,749.98
  5. Step 5: Solve for x
    x = 667,749.98/753.56
  6. Step 6: Final answer
    x = 886.13

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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.