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Finding the Fourth Proportional to 815.76, 1,223.64 and 671.18

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Solution

The fourth proportional to 815.76, 1,223.64 and 671.18 is: 1,006.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,223.64 = 671.18 : x
  2. Step 2: Convert to fraction form
    815.76/1,223.64 = 671.18/x
  3. Step 3: Cross multiply
    815.76x = 1,223.64 × 671.18
  4. Step 4: Simplify right side
    815.76x = 821,276.58
  5. Step 5: Solve for x
    x = 821,276.58/815.76
  6. Step 6: Final answer
    x = 1,006.76

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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.