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Finding the Fourth Proportional to 754.57, 1,040.57 and 588.72

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Solution

The fourth proportional to 754.57, 1,040.57 and 588.72 is: 811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.57 : 1,040.57 = 588.72 : x
  2. Step 2: Convert to fraction form
    754.57/1,040.57 = 588.72/x
  3. Step 3: Cross multiply
    754.57x = 1,040.57 × 588.72
  4. Step 4: Simplify right side
    754.57x = 612,607.54
  5. Step 5: Solve for x
    x = 612,607.54/754.57
  6. Step 6: Final answer
    x = 811.86

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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.