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Finding the Fourth Proportional to 812.96, 1,218.80 and 292.88

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Solution

The fourth proportional to 812.96, 1,218.80 and 292.88 is: 439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.96 : 1,218.80 = 292.88 : x
  2. Step 2: Convert to fraction form
    812.96/1,218.80 = 292.88/x
  3. Step 3: Cross multiply
    812.96x = 1,218.80 × 292.88
  4. Step 4: Simplify right side
    812.96x = 356,962.14
  5. Step 5: Solve for x
    x = 356,962.14/812.96
  6. Step 6: Final answer
    x = 439.09

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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.