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Finding the Fourth Proportional to 881.79, 1,323.29 and 471.22

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Solution

The fourth proportional to 881.79, 1,323.29 and 471.22 is: 707.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.79 : 1,323.29 = 471.22 : x
  2. Step 2: Convert to fraction form
    881.79/1,323.29 = 471.22/x
  3. Step 3: Cross multiply
    881.79x = 1,323.29 × 471.22
  4. Step 4: Simplify right side
    881.79x = 623,558.36
  5. Step 5: Solve for x
    x = 623,558.36/881.79
  6. Step 6: Final answer
    x = 707.15

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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.