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Finding the Fourth Proportional to 754.58, 1,125.68 and 744.86

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Solution

The fourth proportional to 754.58, 1,125.68 and 744.86 is: 1,111.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.58 : 1,125.68 = 744.86 : x
  2. Step 2: Convert to fraction form
    754.58/1,125.68 = 744.86/x
  3. Step 3: Cross multiply
    754.58x = 1,125.68 × 744.86
  4. Step 4: Simplify right side
    754.58x = 838,474.00
  5. Step 5: Solve for x
    x = 838,474.00/754.58
  6. Step 6: Final answer
    x = 1,111.18

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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.