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Finding the Fourth Proportional to 927.19, 1,279.14 and 595.81

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Solution

The fourth proportional to 927.19, 1,279.14 and 595.81 is: 821.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.19 : 1,279.14 = 595.81 : x
  2. Step 2: Convert to fraction form
    927.19/1,279.14 = 595.81/x
  3. Step 3: Cross multiply
    927.19x = 1,279.14 × 595.81
  4. Step 4: Simplify right side
    927.19x = 762,124.40
  5. Step 5: Solve for x
    x = 762,124.40/927.19
  6. Step 6: Final answer
    x = 821.97

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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.