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Finding the Fourth Proportional to 581.60, 871.60 and 512.80

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Solution

The fourth proportional to 581.60, 871.60 and 512.80 is: 768.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 871.60 = 512.80 : x
  2. Step 2: Convert to fraction form
    581.60/871.60 = 512.80/x
  3. Step 3: Cross multiply
    581.60x = 871.60 × 512.80
  4. Step 4: Simplify right side
    581.60x = 446,956.48
  5. Step 5: Solve for x
    x = 446,956.48/581.60
  6. Step 6: Final answer
    x = 768.49

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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.