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Finding the Fourth Proportional to 1,126.80, 1,689.64 and 396.16

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Solution

The fourth proportional to 1,126.80, 1,689.64 and 396.16 is: 594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.80 : 1,689.64 = 396.16 : x
  2. Step 2: Convert to fraction form
    1,126.80/1,689.64 = 396.16/x
  3. Step 3: Cross multiply
    1,126.80x = 1,689.64 × 396.16
  4. Step 4: Simplify right side
    1,126.80x = 669,367.78
  5. Step 5: Solve for x
    x = 669,367.78/1,126.80
  6. Step 6: Final answer
    x = 594.04

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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.