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Finding the Fourth Proportional to 581.54, 871.22 and 288.70

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Solution

The fourth proportional to 581.54, 871.22 and 288.70 is: 432.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.54 : 871.22 = 288.70 : x
  2. Step 2: Convert to fraction form
    581.54/871.22 = 288.70/x
  3. Step 3: Cross multiply
    581.54x = 871.22 × 288.70
  4. Step 4: Simplify right side
    581.54x = 251,521.21
  5. Step 5: Solve for x
    x = 251,521.21/581.54
  6. Step 6: Final answer
    x = 432.51

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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.