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Finding the Fourth Proportional to 1,151.65, 1,589.28 and 627.69

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Solution

The fourth proportional to 1,151.65, 1,589.28 and 627.69 is: 866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.65 : 1,589.28 = 627.69 : x
  2. Step 2: Convert to fraction form
    1,151.65/1,589.28 = 627.69/x
  3. Step 3: Cross multiply
    1,151.65x = 1,589.28 × 627.69
  4. Step 4: Simplify right side
    1,151.65x = 997,569.48
  5. Step 5: Solve for x
    x = 997,569.48/1,151.65
  6. Step 6: Final answer
    x = 866.21

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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.