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Finding the Fourth Proportional to 580.77, 871.05 and 288.17

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Solution

The fourth proportional to 580.77, 871.05 and 288.17 is: 432.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.77 : 871.05 = 288.17 : x
  2. Step 2: Convert to fraction form
    580.77/871.05 = 288.17/x
  3. Step 3: Cross multiply
    580.77x = 871.05 × 288.17
  4. Step 4: Simplify right side
    580.77x = 251,012.66
  5. Step 5: Solve for x
    x = 251,012.66/580.77
  6. Step 6: Final answer
    x = 432.21

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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.