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Finding the Fourth Proportional to 881.14, 1,322.07 and 470.74

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Solution

The fourth proportional to 881.14, 1,322.07 and 470.74 is: 706.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.14 : 1,322.07 = 470.74 : x
  2. Step 2: Convert to fraction form
    881.14/1,322.07 = 470.74/x
  3. Step 3: Cross multiply
    881.14x = 1,322.07 × 470.74
  4. Step 4: Simplify right side
    881.14x = 622,351.23
  5. Step 5: Solve for x
    x = 622,351.23/881.14
  6. Step 6: Final answer
    x = 706.30

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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.