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Finding the Fourth Proportional to 506.43, 699 and 408

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Solution

The fourth proportional to 506.43, 699 and 408 is: 563.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.43 : 699 = 408 : x
  2. Step 2: Convert to fraction form
    506.43/699 = 408/x
  3. Step 3: Cross multiply
    506.43x = 699 × 408
  4. Step 4: Simplify right side
    506.43x = 285,192
  5. Step 5: Solve for x
    x = 285,192/506.43
  6. Step 6: Final answer
    x = 563.14

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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.