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Finding the Fourth Proportional to 837.52, 1,250.15 and 775.75

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Solution

The fourth proportional to 837.52, 1,250.15 and 775.75 is: 1,157.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.52 : 1,250.15 = 775.75 : x
  2. Step 2: Convert to fraction form
    837.52/1,250.15 = 775.75/x
  3. Step 3: Cross multiply
    837.52x = 1,250.15 × 775.75
  4. Step 4: Simplify right side
    837.52x = 969,803.86
  5. Step 5: Solve for x
    x = 969,803.86/837.52
  6. Step 6: Final answer
    x = 1,157.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.