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Finding the Fourth Proportional to 1,151.90, 1,589.63 and 627.96

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Solution

The fourth proportional to 1,151.90, 1,589.63 and 627.96 is: 866.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.90 : 1,589.63 = 627.96 : x
  2. Step 2: Convert to fraction form
    1,151.90/1,589.63 = 627.96/x
  3. Step 3: Cross multiply
    1,151.90x = 1,589.63 × 627.96
  4. Step 4: Simplify right side
    1,151.90x = 998,220.92
  5. Step 5: Solve for x
    x = 998,220.92/1,151.90
  6. Step 6: Final answer
    x = 866.59

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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.