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Finding the Fourth Proportional to 834.84, 1,253.25 and 561.42

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Solution

The fourth proportional to 834.84, 1,253.25 and 561.42 is: 842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.84 : 1,253.25 = 561.42 : x
  2. Step 2: Convert to fraction form
    834.84/1,253.25 = 561.42/x
  3. Step 3: Cross multiply
    834.84x = 1,253.25 × 561.42
  4. Step 4: Simplify right side
    834.84x = 703,599.62
  5. Step 5: Solve for x
    x = 703,599.62/834.84
  6. Step 6: Final answer
    x = 842.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.