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Finding the Fourth Proportional to 513.08, 707.30 and 408.21

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Solution

The fourth proportional to 513.08, 707.30 and 408.21 is: 562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.08 : 707.30 = 408.21 : x
  2. Step 2: Convert to fraction form
    513.08/707.30 = 408.21/x
  3. Step 3: Cross multiply
    513.08x = 707.30 × 408.21
  4. Step 4: Simplify right side
    513.08x = 288,723.77
  5. Step 5: Solve for x
    x = 288,723.77/513.08
  6. Step 6: Final answer
    x = 562.73

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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.