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Finding the Fourth Proportional to 511.75, 706.10 and 325.17

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Solution

The fourth proportional to 511.75, 706.10 and 325.17 is: 448.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.75 : 706.10 = 325.17 : x
  2. Step 2: Convert to fraction form
    511.75/706.10 = 325.17/x
  3. Step 3: Cross multiply
    511.75x = 706.10 × 325.17
  4. Step 4: Simplify right side
    511.75x = 229,600.91
  5. Step 5: Solve for x
    x = 229,600.91/511.75
  6. Step 6: Final answer
    x = 448.66

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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.