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Finding the Fourth Proportional to 834.18, 1,152.25 and 677.85

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Solution

The fourth proportional to 834.18, 1,152.25 and 677.85 is: 936.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.18 : 1,152.25 = 677.85 : x
  2. Step 2: Convert to fraction form
    834.18/1,152.25 = 677.85/x
  3. Step 3: Cross multiply
    834.18x = 1,152.25 × 677.85
  4. Step 4: Simplify right side
    834.18x = 781,050.97
  5. Step 5: Solve for x
    x = 781,050.97/834.18
  6. Step 6: Final answer
    x = 936.31

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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.