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Finding the Fourth Proportional to 588.17, 880.29 and 404.57

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Solution

The fourth proportional to 588.17, 880.29 and 404.57 is: 605.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.17 : 880.29 = 404.57 : x
  2. Step 2: Convert to fraction form
    588.17/880.29 = 404.57/x
  3. Step 3: Cross multiply
    588.17x = 880.29 × 404.57
  4. Step 4: Simplify right side
    588.17x = 356,138.93
  5. Step 5: Solve for x
    x = 356,138.93/588.17
  6. Step 6: Final answer
    x = 605.50

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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.