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Finding the Fourth Proportional to 588.28, 880.86 and 433.96

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Solution

The fourth proportional to 588.28, 880.86 and 433.96 is: 649.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.28 : 880.86 = 433.96 : x
  2. Step 2: Convert to fraction form
    588.28/880.86 = 433.96/x
  3. Step 3: Cross multiply
    588.28x = 880.86 × 433.96
  4. Step 4: Simplify right side
    588.28x = 382,258.01
  5. Step 5: Solve for x
    x = 382,258.01/588.28
  6. Step 6: Final answer
    x = 649.79

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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.