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Finding the Fourth Proportional to 726.36, 1,086.84 and 434.02

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Solution

The fourth proportional to 726.36, 1,086.84 and 434.02 is: 649.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    726.36 : 1,086.84 = 434.02 : x
  2. Step 2: Convert to fraction form
    726.36/1,086.84 = 434.02/x
  3. Step 3: Cross multiply
    726.36x = 1,086.84 × 434.02
  4. Step 4: Simplify right side
    726.36x = 471,710.30
  5. Step 5: Solve for x
    x = 471,710.30/726.36
  6. Step 6: Final answer
    x = 649.42

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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.