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Finding the Fourth Proportional to 927.18, 1,278.92 and 705.65

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Solution

The fourth proportional to 927.18, 1,278.92 and 705.65 is: 973.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.18 : 1,278.92 = 705.65 : x
  2. Step 2: Convert to fraction form
    927.18/1,278.92 = 705.65/x
  3. Step 3: Cross multiply
    927.18x = 1,278.92 × 705.65
  4. Step 4: Simplify right side
    927.18x = 902,469.90
  5. Step 5: Solve for x
    x = 902,469.90/927.18
  6. Step 6: Final answer
    x = 973.35

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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.