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Finding the Fourth Proportional to 834.17, 1,248.93 and 628.11

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Solution

The fourth proportional to 834.17, 1,248.93 and 628.11 is: 940.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.17 : 1,248.93 = 628.11 : x
  2. Step 2: Convert to fraction form
    834.17/1,248.93 = 628.11/x
  3. Step 3: Cross multiply
    834.17x = 1,248.93 × 628.11
  4. Step 4: Simplify right side
    834.17x = 784,465.42
  5. Step 5: Solve for x
    x = 784,465.42/834.17
  6. Step 6: Final answer
    x = 940.42

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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.