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Finding the Fourth Proportional to 588.98, 811.40 and 488.78

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Solution

The fourth proportional to 588.98, 811.40 and 488.78 is: 673.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.98 : 811.40 = 488.78 : x
  2. Step 2: Convert to fraction form
    588.98/811.40 = 488.78/x
  3. Step 3: Cross multiply
    588.98x = 811.40 × 488.78
  4. Step 4: Simplify right side
    588.98x = 396,596.09
  5. Step 5: Solve for x
    x = 396,596.09/588.98
  6. Step 6: Final answer
    x = 673.36

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