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Finding the Fourth Proportional to 1,136.64, 1,568.12 and 639.17

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Solution

The fourth proportional to 1,136.64, 1,568.12 and 639.17 is: 881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.64 : 1,568.12 = 639.17 : x
  2. Step 2: Convert to fraction form
    1,136.64/1,568.12 = 639.17/x
  3. Step 3: Cross multiply
    1,136.64x = 1,568.12 × 639.17
  4. Step 4: Simplify right side
    1,136.64x = 1,002,295.26
  5. Step 5: Solve for x
    x = 1,002,295.26/1,136.64
  6. Step 6: Final answer
    x = 881.81

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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.