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Finding the Fourth Proportional to 927.56, 1,279.92 and 513.56

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Solution

The fourth proportional to 927.56, 1,279.92 and 513.56 is: 708.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.56 : 1,279.92 = 513.56 : x
  2. Step 2: Convert to fraction form
    927.56/1,279.92 = 513.56/x
  3. Step 3: Cross multiply
    927.56x = 1,279.92 × 513.56
  4. Step 4: Simplify right side
    927.56x = 657,315.72
  5. Step 5: Solve for x
    x = 657,315.72/927.56
  6. Step 6: Final answer
    x = 708.65

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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.