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Finding the Fourth Proportional to 587.80, 880.44 and 395.20

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Solution

The fourth proportional to 587.80, 880.44 and 395.20 is: 591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.80 : 880.44 = 395.20 : x
  2. Step 2: Convert to fraction form
    587.80/880.44 = 395.20/x
  3. Step 3: Cross multiply
    587.80x = 880.44 × 395.20
  4. Step 4: Simplify right side
    587.80x = 347,949.89
  5. Step 5: Solve for x
    x = 347,949.89/587.80
  6. Step 6: Final answer
    x = 591.95

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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.