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Finding the Fourth Proportional to 880.92, 1,322.19 and 470.52

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Solution

The fourth proportional to 880.92, 1,322.19 and 470.52 is: 706.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.92 : 1,322.19 = 470.52 : x
  2. Step 2: Convert to fraction form
    880.92/1,322.19 = 470.52/x
  3. Step 3: Cross multiply
    880.92x = 1,322.19 × 470.52
  4. Step 4: Simplify right side
    880.92x = 622,116.84
  5. Step 5: Solve for x
    x = 622,116.84/880.92
  6. Step 6: Final answer
    x = 706.21

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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.