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Finding the Fourth Proportional to 579.88, 870.12 and 443.80

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Solution

The fourth proportional to 579.88, 870.12 and 443.80 is: 665.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.88 : 870.12 = 443.80 : x
  2. Step 2: Convert to fraction form
    579.88/870.12 = 443.80/x
  3. Step 3: Cross multiply
    579.88x = 870.12 × 443.80
  4. Step 4: Simplify right side
    579.88x = 386,159.26
  5. Step 5: Solve for x
    x = 386,159.26/579.88
  6. Step 6: Final answer
    x = 665.93

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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.