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Finding the Fourth Proportional to 687.63, 948.93 and 408

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Solution

The fourth proportional to 687.63, 948.93 and 408 is: 563.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.63 : 948.93 = 408 : x
  2. Step 2: Convert to fraction form
    687.63/948.93 = 408/x
  3. Step 3: Cross multiply
    687.63x = 948.93 × 408
  4. Step 4: Simplify right side
    687.63x = 387,163.44
  5. Step 5: Solve for x
    x = 387,163.44/687.63
  6. Step 6: Final answer
    x = 563.04

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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.