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Finding the Fourth Proportional to 587.20, 809.80 and 488.80

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Solution

The fourth proportional to 587.20, 809.80 and 488.80 is: 674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    587.20 : 809.80 = 488.80 : x
  2. Step 2: Convert to fraction form
    587.20/809.80 = 488.80/x
  3. Step 3: Cross multiply
    587.20x = 809.80 × 488.80
  4. Step 4: Simplify right side
    587.20x = 395,830.24
  5. Step 5: Solve for x
    x = 395,830.24/587.20
  6. Step 6: Final answer
    x = 674.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.