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Finding the Fourth Proportional to 927.58, 1,280.24 and 596.43

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Solution

The fourth proportional to 927.58, 1,280.24 and 596.43 is: 823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.58 : 1,280.24 = 596.43 : x
  2. Step 2: Convert to fraction form
    927.58/1,280.24 = 596.43/x
  3. Step 3: Cross multiply
    927.58x = 1,280.24 × 596.43
  4. Step 4: Simplify right side
    927.58x = 763,573.54
  5. Step 5: Solve for x
    x = 763,573.54/927.58
  6. Step 6: Final answer
    x = 823.19

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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.