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Finding the Fourth Proportional to 934.11, 1,288.74 and 560.80

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Solution

The fourth proportional to 934.11, 1,288.74 and 560.80 is: 773.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.11 : 1,288.74 = 560.80 : x
  2. Step 2: Convert to fraction form
    934.11/1,288.74 = 560.80/x
  3. Step 3: Cross multiply
    934.11x = 1,288.74 × 560.80
  4. Step 4: Simplify right side
    934.11x = 722,729.11
  5. Step 5: Solve for x
    x = 722,729.11/934.11
  6. Step 6: Final answer
    x = 773.71

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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.