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Finding the Fourth Proportional to 881.70, 1,323.06 and 814.05

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Solution

The fourth proportional to 881.70, 1,323.06 and 814.05 is: 1,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.70 : 1,323.06 = 814.05 : x
  2. Step 2: Convert to fraction form
    881.70/1,323.06 = 814.05/x
  3. Step 3: Cross multiply
    881.70x = 1,323.06 × 814.05
  4. Step 4: Simplify right side
    881.70x = 1,077,036.99
  5. Step 5: Solve for x
    x = 1,077,036.99/881.70
  6. Step 6: Final answer
    x = 1,221.55

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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.