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Finding the Fourth Proportional to 865.88, 1,292.50 and 756.53

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Solution

The fourth proportional to 865.88, 1,292.50 and 756.53 is: 1,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.88 : 1,292.50 = 756.53 : x
  2. Step 2: Convert to fraction form
    865.88/1,292.50 = 756.53/x
  3. Step 3: Cross multiply
    865.88x = 1,292.50 × 756.53
  4. Step 4: Simplify right side
    865.88x = 977,806.67
  5. Step 5: Solve for x
    x = 977,806.67/865.88
  6. Step 6: Final answer
    x = 1,129.27

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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.