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Finding the Fourth Proportional to 729.65, 1,100.97 and 701.18

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Solution

The fourth proportional to 729.65, 1,100.97 and 701.18 is: 1,058.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.65 : 1,100.97 = 701.18 : x
  2. Step 2: Convert to fraction form
    729.65/1,100.97 = 701.18/x
  3. Step 3: Cross multiply
    729.65x = 1,100.97 × 701.18
  4. Step 4: Simplify right side
    729.65x = 771,972.64
  5. Step 5: Solve for x
    x = 771,972.64/729.65
  6. Step 6: Final answer
    x = 1,058.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.