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Finding the Fourth Proportional to 1,000.27, 1,381.08 and 627.40

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Solution

The fourth proportional to 1,000.27, 1,381.08 and 627.40 is: 866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.27 : 1,381.08 = 627.40 : x
  2. Step 2: Convert to fraction form
    1,000.27/1,381.08 = 627.40/x
  3. Step 3: Cross multiply
    1,000.27x = 1,381.08 × 627.40
  4. Step 4: Simplify right side
    1,000.27x = 866,489.59
  5. Step 5: Solve for x
    x = 866,489.59/1,000.27
  6. Step 6: Final answer
    x = 866.26

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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.