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Finding the Fourth Proportional to 1,250.88, 1,875.25 and 838.75

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Solution

The fourth proportional to 1,250.88, 1,875.25 and 838.75 is: 1,257.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.88 : 1,875.25 = 838.75 : x
  2. Step 2: Convert to fraction form
    1,250.88/1,875.25 = 838.75/x
  3. Step 3: Cross multiply
    1,250.88x = 1,875.25 × 838.75
  4. Step 4: Simplify right side
    1,250.88x = 1,572,865.94
  5. Step 5: Solve for x
    x = 1,572,865.94/1,250.88
  6. Step 6: Final answer
    x = 1,257.41

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1.5x scale

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.