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Finding the Fourth Proportional to 834.96, 1,152.32 and 461.96

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Solution

The fourth proportional to 834.96, 1,152.32 and 461.96 is: 637.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.96 : 1,152.32 = 461.96 : x
  2. Step 2: Convert to fraction form
    834.96/1,152.32 = 461.96/x
  3. Step 3: Cross multiply
    834.96x = 1,152.32 × 461.96
  4. Step 4: Simplify right side
    834.96x = 532,325.75
  5. Step 5: Solve for x
    x = 532,325.75/834.96
  6. Step 6: Final answer
    x = 637.55

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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.