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Finding the Fourth Proportional to 872.90, 1,308.53 and 824.57

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Solution

The fourth proportional to 872.90, 1,308.53 and 824.57 is: 1,236.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.90 : 1,308.53 = 824.57 : x
  2. Step 2: Convert to fraction form
    872.90/1,308.53 = 824.57/x
  3. Step 3: Cross multiply
    872.90x = 1,308.53 × 824.57
  4. Step 4: Simplify right side
    872.90x = 1,078,963.92
  5. Step 5: Solve for x
    x = 1,078,963.92/872.90
  6. Step 6: Final answer
    x = 1,236.08

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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.