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Finding the Fourth Proportional to 655.46, 981.64 and 517.58

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Solution

The fourth proportional to 655.46, 981.64 and 517.58 is: 775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.46 : 981.64 = 517.58 : x
  2. Step 2: Convert to fraction form
    655.46/981.64 = 517.58/x
  3. Step 3: Cross multiply
    655.46x = 981.64 × 517.58
  4. Step 4: Simplify right side
    655.46x = 508,078.39
  5. Step 5: Solve for x
    x = 508,078.39/655.46
  6. Step 6: Final answer
    x = 775.15

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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.