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Finding the Fourth Proportional to 587.50, 880.86 and 279.40

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Solution

The fourth proportional to 587.50, 880.86 and 279.40 is: 418.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.50 : 880.86 = 279.40 : x
  2. Step 2: Convert to fraction form
    587.50/880.86 = 279.40/x
  3. Step 3: Cross multiply
    587.50x = 880.86 × 279.40
  4. Step 4: Simplify right side
    587.50x = 246,112.28
  5. Step 5: Solve for x
    x = 246,112.28/587.50
  6. Step 6: Final answer
    x = 418.91

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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.