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Finding the Fourth Proportional to 588.72, 878.88 and 584.64

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Solution

The fourth proportional to 588.72, 878.88 and 584.64 is: 872.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.72 : 878.88 = 584.64 : x
  2. Step 2: Convert to fraction form
    588.72/878.88 = 584.64/x
  3. Step 3: Cross multiply
    588.72x = 878.88 × 584.64
  4. Step 4: Simplify right side
    588.72x = 513,828.40
  5. Step 5: Solve for x
    x = 513,828.40/588.72
  6. Step 6: Final answer
    x = 872.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.