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Finding the Fourth Proportional to 655.22, 981.15 and 546.74

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Solution

The fourth proportional to 655.22, 981.15 and 546.74 is: 818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.22 : 981.15 = 546.74 : x
  2. Step 2: Convert to fraction form
    655.22/981.15 = 546.74/x
  3. Step 3: Cross multiply
    655.22x = 981.15 × 546.74
  4. Step 4: Simplify right side
    655.22x = 536,433.95
  5. Step 5: Solve for x
    x = 536,433.95/655.22
  6. Step 6: Final answer
    x = 818.71

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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.