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Finding the Fourth Proportional to 579.90, 800.65 and 359.18

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Solution

The fourth proportional to 579.90, 800.65 and 359.18 is: 495.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.90 : 800.65 = 359.18 : x
  2. Step 2: Convert to fraction form
    579.90/800.65 = 359.18/x
  3. Step 3: Cross multiply
    579.90x = 800.65 × 359.18
  4. Step 4: Simplify right side
    579.90x = 287,577.47
  5. Step 5: Solve for x
    x = 287,577.47/579.90
  6. Step 6: Final answer
    x = 495.91

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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.