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Finding the Fourth Proportional to 1,149.12, 1,585.78 and 625.16

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Solution

The fourth proportional to 1,149.12, 1,585.78 and 625.16 is: 862.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.12 : 1,585.78 = 625.16 : x
  2. Step 2: Convert to fraction form
    1,149.12/1,585.78 = 625.16/x
  3. Step 3: Cross multiply
    1,149.12x = 1,585.78 × 625.16
  4. Step 4: Simplify right side
    1,149.12x = 991,366.22
  5. Step 5: Solve for x
    x = 991,366.22/1,149.12
  6. Step 6: Final answer
    x = 862.72

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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.