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Finding the Fourth Proportional to 587.75, 880.32 and 381.70

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Solution

The fourth proportional to 587.75, 880.32 and 381.70 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.75 : 880.32 = 381.70 : x
  2. Step 2: Convert to fraction form
    587.75/880.32 = 381.70/x
  3. Step 3: Cross multiply
    587.75x = 880.32 × 381.70
  4. Step 4: Simplify right side
    587.75x = 336,018.14
  5. Step 5: Solve for x
    x = 336,018.14/587.75
  6. Step 6: Final answer
    x = 571.70

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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.