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Finding the Fourth Proportional to 581.60, 871.99 and 288.74

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Solution

The fourth proportional to 581.60, 871.99 and 288.74 is: 432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.60 : 871.99 = 288.74 : x
  2. Step 2: Convert to fraction form
    581.60/871.99 = 288.74/x
  3. Step 3: Cross multiply
    581.60x = 871.99 × 288.74
  4. Step 4: Simplify right side
    581.60x = 251,778.39
  5. Step 5: Solve for x
    x = 251,778.39/581.60
  6. Step 6: Final answer
    x = 432.91

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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.