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Finding the Fourth Proportional to 511.62, 707.87 and 446.24

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Solution

The fourth proportional to 511.62, 707.87 and 446.24 is: 617.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.62 : 707.87 = 446.24 : x
  2. Step 2: Convert to fraction form
    511.62/707.87 = 446.24/x
  3. Step 3: Cross multiply
    511.62x = 707.87 × 446.24
  4. Step 4: Simplify right side
    511.62x = 315,882.79
  5. Step 5: Solve for x
    x = 315,882.79/511.62
  6. Step 6: Final answer
    x = 617.42

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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.