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Finding the Fourth Proportional to 1,059.85, 1,589.13 and 627.31

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Solution

The fourth proportional to 1,059.85, 1,589.13 and 627.31 is: 940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.85 : 1,589.13 = 627.31 : x
  2. Step 2: Convert to fraction form
    1,059.85/1,589.13 = 627.31/x
  3. Step 3: Cross multiply
    1,059.85x = 1,589.13 × 627.31
  4. Step 4: Simplify right side
    1,059.85x = 996,877.14
  5. Step 5: Solve for x
    x = 996,877.14/1,059.85
  6. Step 6: Final answer
    x = 940.58

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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.