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Finding the Fourth Proportional to 927.54, 1,279.89 and 513.46

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Solution

The fourth proportional to 927.54, 1,279.89 and 513.46 is: 708.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.54 : 1,279.89 = 513.46 : x
  2. Step 2: Convert to fraction form
    927.54/1,279.89 = 513.46/x
  3. Step 3: Cross multiply
    927.54x = 1,279.89 × 513.46
  4. Step 4: Simplify right side
    927.54x = 657,172.32
  5. Step 5: Solve for x
    x = 657,172.32/927.54
  6. Step 6: Final answer
    x = 708.51

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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.