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Finding the Fourth Proportional to 880.43, 1,214.80 and 531.11

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Solution

The fourth proportional to 880.43, 1,214.80 and 531.11 is: 732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.43 : 1,214.80 = 531.11 : x
  2. Step 2: Convert to fraction form
    880.43/1,214.80 = 531.11/x
  3. Step 3: Cross multiply
    880.43x = 1,214.80 × 531.11
  4. Step 4: Simplify right side
    880.43x = 645,185.03
  5. Step 5: Solve for x
    x = 645,185.03/880.43
  6. Step 6: Final answer
    x = 732.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.