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Finding the Fourth Proportional to 581.03, 871.44 and 288.23

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Solution

The fourth proportional to 581.03, 871.44 and 288.23 is: 432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.03 : 871.44 = 288.23 : x
  2. Step 2: Convert to fraction form
    581.03/871.44 = 288.23/x
  3. Step 3: Cross multiply
    581.03x = 871.44 × 288.23
  4. Step 4: Simplify right side
    581.03x = 251,171.53
  5. Step 5: Solve for x
    x = 251,171.53/581.03
  6. Step 6: Final answer
    x = 432.28

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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.