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Finding the Fourth Proportional to 729.27, 1,095.60 and 689.94

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Solution

The fourth proportional to 729.27, 1,095.60 and 689.94 is: 1,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.27 : 1,095.60 = 689.94 : x
  2. Step 2: Convert to fraction form
    729.27/1,095.60 = 689.94/x
  3. Step 3: Cross multiply
    729.27x = 1,095.60 × 689.94
  4. Step 4: Simplify right side
    729.27x = 755,898.26
  5. Step 5: Solve for x
    x = 755,898.26/729.27
  6. Step 6: Final answer
    x = 1,036.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.