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Finding the Fourth Proportional to 927.14, 1,279.44 and 534.15

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Solution

The fourth proportional to 927.14, 1,279.44 and 534.15 is: 737.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.14 : 1,279.44 = 534.15 : x
  2. Step 2: Convert to fraction form
    927.14/1,279.44 = 534.15/x
  3. Step 3: Cross multiply
    927.14x = 1,279.44 × 534.15
  4. Step 4: Simplify right side
    927.14x = 683,412.88
  5. Step 5: Solve for x
    x = 683,412.88/927.14
  6. Step 6: Final answer
    x = 737.12

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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.