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Finding the Fourth Proportional to 883.37, 1,318.70 and 819.29

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Solution

The fourth proportional to 883.37, 1,318.70 and 819.29 is: 1,223.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.37 : 1,318.70 = 819.29 : x
  2. Step 2: Convert to fraction form
    883.37/1,318.70 = 819.29/x
  3. Step 3: Cross multiply
    883.37x = 1,318.70 × 819.29
  4. Step 4: Simplify right side
    883.37x = 1,080,397.72
  5. Step 5: Solve for x
    x = 1,080,397.72/883.37
  6. Step 6: Final answer
    x = 1,223.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.