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Finding the Fourth Proportional to 881.80, 1,323.42 and 471.22

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Solution

The fourth proportional to 881.80, 1,323.42 and 471.22 is: 707.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.80 : 1,323.42 = 471.22 : x
  2. Step 2: Convert to fraction form
    881.80/1,323.42 = 471.22/x
  3. Step 3: Cross multiply
    881.80x = 1,323.42 × 471.22
  4. Step 4: Simplify right side
    881.80x = 623,621.97
  5. Step 5: Solve for x
    x = 623,621.97/881.80
  6. Step 6: Final answer
    x = 707.21

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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.