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Finding the Fourth Proportional to 822.70, 1,231.71 and 456.13

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Solution

The fourth proportional to 822.70, 1,231.71 and 456.13 is: 682.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.70 : 1,231.71 = 456.13 : x
  2. Step 2: Convert to fraction form
    822.70/1,231.71 = 456.13/x
  3. Step 3: Cross multiply
    822.70x = 1,231.71 × 456.13
  4. Step 4: Simplify right side
    822.70x = 561,819.88
  5. Step 5: Solve for x
    x = 561,819.88/822.70
  6. Step 6: Final answer
    x = 682.90

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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.