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Finding the Fourth Proportional to 575.39, 862.53 and 209.91

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Solution

The fourth proportional to 575.39, 862.53 and 209.91 is: 314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.39 : 862.53 = 209.91 : x
  2. Step 2: Convert to fraction form
    575.39/862.53 = 209.91/x
  3. Step 3: Cross multiply
    575.39x = 862.53 × 209.91
  4. Step 4: Simplify right side
    575.39x = 181,053.67
  5. Step 5: Solve for x
    x = 181,053.67/575.39
  6. Step 6: Final answer
    x = 314.67

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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.