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Finding the Fourth Proportional to 880.25, 1,318.33 and 532.81

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Solution

The fourth proportional to 880.25, 1,318.33 and 532.81 is: 797.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.25 : 1,318.33 = 532.81 : x
  2. Step 2: Convert to fraction form
    880.25/1,318.33 = 532.81/x
  3. Step 3: Cross multiply
    880.25x = 1,318.33 × 532.81
  4. Step 4: Simplify right side
    880.25x = 702,416.78
  5. Step 5: Solve for x
    x = 702,416.78/880.25
  6. Step 6: Final answer
    x = 797.97

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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.