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Finding the Fourth Proportional to 892.80, 1,344 and 812.16

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Solution

The fourth proportional to 892.80, 1,344 and 812.16 is: 1,222.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.80 : 1,344 = 812.16 : x
  2. Step 2: Convert to fraction form
    892.80/1,344 = 812.16/x
  3. Step 3: Cross multiply
    892.80x = 1,344 × 812.16
  4. Step 4: Simplify right side
    892.80x = 1,091,543.04
  5. Step 5: Solve for x
    x = 1,091,543.04/892.80
  6. Step 6: Final answer
    x = 1,222.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.