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Finding the Fourth Proportional to 575, 862.59 and 209.72

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Solution

The fourth proportional to 575, 862.59 and 209.72 is: 314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    575 : 862.59 = 209.72 : x
  2. Step 2: Convert to fraction form
    575/862.59 = 209.72/x
  3. Step 3: Cross multiply
    575x = 862.59 × 209.72
  4. Step 4: Simplify right side
    575x = 180,902.37
  5. Step 5: Solve for x
    x = 180,902.37/575
  6. Step 6: Final answer
    x = 314.61

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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.