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Finding the Fourth Proportional to 836.91, 1,156.46 and 627.80

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Solution

The fourth proportional to 836.91, 1,156.46 and 627.80 is: 867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.91 : 1,156.46 = 627.80 : x
  2. Step 2: Convert to fraction form
    836.91/1,156.46 = 627.80/x
  3. Step 3: Cross multiply
    836.91x = 1,156.46 × 627.80
  4. Step 4: Simplify right side
    836.91x = 726,016.67
  5. Step 5: Solve for x
    x = 726,016.67/836.91
  6. Step 6: Final answer
    x = 867.50

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1.5x scale

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.