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Finding the Fourth Proportional to 1,250.09, 1,725.14 and 690.55

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Solution

The fourth proportional to 1,250.09, 1,725.14 and 690.55 is: 952.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.09 : 1,725.14 = 690.55 : x
  2. Step 2: Convert to fraction form
    1,250.09/1,725.14 = 690.55/x
  3. Step 3: Cross multiply
    1,250.09x = 1,725.14 × 690.55
  4. Step 4: Simplify right side
    1,250.09x = 1,191,287.66
  5. Step 5: Solve for x
    x = 1,191,287.66/1,250.09
  6. Step 6: Final answer
    x = 952.96

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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.