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Finding the Fourth Proportional to 1,250.37, 1,870.80 and 754.95

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Solution

The fourth proportional to 1,250.37, 1,870.80 and 754.95 is: 1,129.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.37 : 1,870.80 = 754.95 : x
  2. Step 2: Convert to fraction form
    1,250.37/1,870.80 = 754.95/x
  3. Step 3: Cross multiply
    1,250.37x = 1,870.80 × 754.95
  4. Step 4: Simplify right side
    1,250.37x = 1,412,364.64
  5. Step 5: Solve for x
    x = 1,412,364.64/1,250.37
  6. Step 6: Final answer
    x = 1,129.56

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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.