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Finding the Fourth Proportional to 822.68, 1,243.01 and 814.76

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Solution

The fourth proportional to 822.68, 1,243.01 and 814.76 is: 1,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.68 : 1,243.01 = 814.76 : x
  2. Step 2: Convert to fraction form
    822.68/1,243.01 = 814.76/x
  3. Step 3: Cross multiply
    822.68x = 1,243.01 × 814.76
  4. Step 4: Simplify right side
    822.68x = 1,012,754.83
  5. Step 5: Solve for x
    x = 1,012,754.83/822.68
  6. Step 6: Final answer
    x = 1,231.04

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1.5x scale

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.