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Finding the Fourth Proportional to 513.21, 708.30 and 292.17

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Solution

The fourth proportional to 513.21, 708.30 and 292.17 is: 403.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.21 : 708.30 = 292.17 : x
  2. Step 2: Convert to fraction form
    513.21/708.30 = 292.17/x
  3. Step 3: Cross multiply
    513.21x = 708.30 × 292.17
  4. Step 4: Simplify right side
    513.21x = 206,944.01
  5. Step 5: Solve for x
    x = 206,944.01/513.21
  6. Step 6: Final answer
    x = 403.23

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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.