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Finding the Fourth Proportional to 907.68, 1,247.77 and 781.18

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Solution

The fourth proportional to 907.68, 1,247.77 and 781.18 is: 1,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.68 : 1,247.77 = 781.18 : x
  2. Step 2: Convert to fraction form
    907.68/1,247.77 = 781.18/x
  3. Step 3: Cross multiply
    907.68x = 1,247.77 × 781.18
  4. Step 4: Simplify right side
    907.68x = 974,732.97
  5. Step 5: Solve for x
    x = 974,732.97/907.68
  6. Step 6: Final answer
    x = 1,073.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.