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Finding the Fourth Proportional to 588.60, 880.80 and 512.40

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Solution

The fourth proportional to 588.60, 880.80 and 512.40 is: 766.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 880.80 = 512.40 : x
  2. Step 2: Convert to fraction form
    588.60/880.80 = 512.40/x
  3. Step 3: Cross multiply
    588.60x = 880.80 × 512.40
  4. Step 4: Simplify right side
    588.60x = 451,321.92
  5. Step 5: Solve for x
    x = 451,321.92/588.60
  6. Step 6: Final answer
    x = 766.77

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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.