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Finding the Fourth Proportional to 834.88, 1,151.10 and 638.08

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Solution

The fourth proportional to 834.88, 1,151.10 and 638.08 is: 879.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.88 : 1,151.10 = 638.08 : x
  2. Step 2: Convert to fraction form
    834.88/1,151.10 = 638.08/x
  3. Step 3: Cross multiply
    834.88x = 1,151.10 × 638.08
  4. Step 4: Simplify right side
    834.88x = 734,493.89
  5. Step 5: Solve for x
    x = 734,493.89/834.88
  6. Step 6: Final answer
    x = 879.76

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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.