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Finding the Fourth Proportional to 818.35, 1,229.92 and 546.35

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Solution

The fourth proportional to 818.35, 1,229.92 and 546.35 is: 821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.35 : 1,229.92 = 546.35 : x
  2. Step 2: Convert to fraction form
    818.35/1,229.92 = 546.35/x
  3. Step 3: Cross multiply
    818.35x = 1,229.92 × 546.35
  4. Step 4: Simplify right side
    818.35x = 671,959.28
  5. Step 5: Solve for x
    x = 671,959.28/818.35
  6. Step 6: Final answer
    x = 821.12

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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.