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Finding the Fourth Proportional to 1,326.91, 1,831.17 and 729.42

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Solution

The fourth proportional to 1,326.91, 1,831.17 and 729.42 is: 1,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326.91 : 1,831.17 = 729.42 : x
  2. Step 2: Convert to fraction form
    1,326.91/1,831.17 = 729.42/x
  3. Step 3: Cross multiply
    1,326.91x = 1,831.17 × 729.42
  4. Step 4: Simplify right side
    1,326.91x = 1,335,692.02
  5. Step 5: Solve for x
    x = 1,335,692.02/1,326.91
  6. Step 6: Final answer
    x = 1,006.62

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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.