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Finding the Fourth Proportional to 684.15, 1,026.22 and 546.55

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Solution

The fourth proportional to 684.15, 1,026.22 and 546.55 is: 819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.15 : 1,026.22 = 546.55 : x
  2. Step 2: Convert to fraction form
    684.15/1,026.22 = 546.55/x
  3. Step 3: Cross multiply
    684.15x = 1,026.22 × 546.55
  4. Step 4: Simplify right side
    684.15x = 560,877.63
  5. Step 5: Solve for x
    x = 560,877.63/684.15
  6. Step 6: Final answer
    x = 819.82

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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.