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Finding the Fourth Proportional to 588.06, 811.20 and 488.97

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Solution

The fourth proportional to 588.06, 811.20 and 488.97 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.06 : 811.20 = 488.97 : x
  2. Step 2: Convert to fraction form
    588.06/811.20 = 488.97/x
  3. Step 3: Cross multiply
    588.06x = 811.20 × 488.97
  4. Step 4: Simplify right side
    588.06x = 396,652.46
  5. Step 5: Solve for x
    x = 396,652.46/588.06
  6. Step 6: Final answer
    x = 674.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.