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Finding the Fourth Proportional to 655.35, 981.89 and 546.99

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Solution

The fourth proportional to 655.35, 981.89 and 546.99 is: 819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.35 : 981.89 = 546.99 : x
  2. Step 2: Convert to fraction form
    655.35/981.89 = 546.99/x
  3. Step 3: Cross multiply
    655.35x = 981.89 × 546.99
  4. Step 4: Simplify right side
    655.35x = 537,081.28
  5. Step 5: Solve for x
    x = 537,081.28/655.35
  6. Step 6: Final answer
    x = 819.53

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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.