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Finding the Fourth Proportional to 588.60, 880.98 and 405.44

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Solution

The fourth proportional to 588.60, 880.98 and 405.44 is: 606.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.60 : 880.98 = 405.44 : x
  2. Step 2: Convert to fraction form
    588.60/880.98 = 405.44/x
  3. Step 3: Cross multiply
    588.60x = 880.98 × 405.44
  4. Step 4: Simplify right side
    588.60x = 357,181.91
  5. Step 5: Solve for x
    x = 357,181.91/588.60
  6. Step 6: Final answer
    x = 606.83

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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.