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Finding the Fourth Proportional to 575.44, 862.40 and 209.87

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Solution

The fourth proportional to 575.44, 862.40 and 209.87 is: 314.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.44 : 862.40 = 209.87 : x
  2. Step 2: Convert to fraction form
    575.44/862.40 = 209.87/x
  3. Step 3: Cross multiply
    575.44x = 862.40 × 209.87
  4. Step 4: Simplify right side
    575.44x = 180,992.99
  5. Step 5: Solve for x
    x = 180,992.99/575.44
  6. Step 6: Final answer
    x = 314.53

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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.