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Finding the Fourth Proportional to 575.80, 862.02 and 483.44

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Solution

The fourth proportional to 575.80, 862.02 and 483.44 is: 723.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.80 : 862.02 = 483.44 : x
  2. Step 2: Convert to fraction form
    575.80/862.02 = 483.44/x
  3. Step 3: Cross multiply
    575.80x = 862.02 × 483.44
  4. Step 4: Simplify right side
    575.80x = 416,734.95
  5. Step 5: Solve for x
    x = 416,734.95/575.80
  6. Step 6: Final answer
    x = 723.75

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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.