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Finding the Fourth Proportional to 834.67, 1,151.84 and 456.56

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Solution

The fourth proportional to 834.67, 1,151.84 and 456.56 is: 630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.67 : 1,151.84 = 456.56 : x
  2. Step 2: Convert to fraction form
    834.67/1,151.84 = 456.56/x
  3. Step 3: Cross multiply
    834.67x = 1,151.84 × 456.56
  4. Step 4: Simplify right side
    834.67x = 525,881.79
  5. Step 5: Solve for x
    x = 525,881.79/834.67
  6. Step 6: Final answer
    x = 630.05

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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.