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Finding the Fourth Proportional to 1,000.10, 1,381.28 and 627.39

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Solution

The fourth proportional to 1,000.10, 1,381.28 and 627.39 is: 866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.10 : 1,381.28 = 627.39 : x
  2. Step 2: Convert to fraction form
    1,000.10/1,381.28 = 627.39/x
  3. Step 3: Cross multiply
    1,000.10x = 1,381.28 × 627.39
  4. Step 4: Simplify right side
    1,000.10x = 866,598.12
  5. Step 5: Solve for x
    x = 866,598.12/1,000.10
  6. Step 6: Final answer
    x = 866.51

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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.