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Finding the Fourth Proportional to 834.90, 1,149.56 and 715.98

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Solution

The fourth proportional to 834.90, 1,149.56 and 715.98 is: 985.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.90 : 1,149.56 = 715.98 : x
  2. Step 2: Convert to fraction form
    834.90/1,149.56 = 715.98/x
  3. Step 3: Cross multiply
    834.90x = 1,149.56 × 715.98
  4. Step 4: Simplify right side
    834.90x = 823,061.97
  5. Step 5: Solve for x
    x = 823,061.97/834.90
  6. Step 6: Final answer
    x = 985.82

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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.