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Finding the Fourth Proportional to 655.97, 984.35 and 588.74

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Solution

The fourth proportional to 655.97, 984.35 and 588.74 is: 883.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.97 : 984.35 = 588.74 : x
  2. Step 2: Convert to fraction form
    655.97/984.35 = 588.74/x
  3. Step 3: Cross multiply
    655.97x = 984.35 × 588.74
  4. Step 4: Simplify right side
    655.97x = 579,530.15
  5. Step 5: Solve for x
    x = 579,530.15/655.97
  6. Step 6: Final answer
    x = 883.47

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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.