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Finding the Fourth Proportional to 927.09, 1,387.86 and 560.76

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Solution

The fourth proportional to 927.09, 1,387.86 and 560.76 is: 839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.09 : 1,387.86 = 560.76 : x
  2. Step 2: Convert to fraction form
    927.09/1,387.86 = 560.76/x
  3. Step 3: Cross multiply
    927.09x = 1,387.86 × 560.76
  4. Step 4: Simplify right side
    927.09x = 778,256.37
  5. Step 5: Solve for x
    x = 778,256.37/927.09
  6. Step 6: Final answer
    x = 839.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.