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Finding the Fourth Proportional to 1,126.61, 1,689.84 and 396.18

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Solution

The fourth proportional to 1,126.61, 1,689.84 and 396.18 is: 594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,126.61 : 1,689.84 = 396.18 : x
  2. Step 2: Convert to fraction form
    1,126.61/1,689.84 = 396.18/x
  3. Step 3: Cross multiply
    1,126.61x = 1,689.84 × 396.18
  4. Step 4: Simplify right side
    1,126.61x = 669,480.81
  5. Step 5: Solve for x
    x = 669,480.81/1,126.61
  6. Step 6: Final answer
    x = 594.25

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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.