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Finding the Fourth Proportional to 729.35, 1,088.72 and 675.14

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Solution

The fourth proportional to 729.35, 1,088.72 and 675.14 is: 1,007.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.35 : 1,088.72 = 675.14 : x
  2. Step 2: Convert to fraction form
    729.35/1,088.72 = 675.14/x
  3. Step 3: Cross multiply
    729.35x = 1,088.72 × 675.14
  4. Step 4: Simplify right side
    729.35x = 735,042.05
  5. Step 5: Solve for x
    x = 735,042.05/729.35
  6. Step 6: Final answer
    x = 1,007.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.