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Finding the Fourth Proportional to 687.52, 950.16 and 676

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Solution

The fourth proportional to 687.52, 950.16 and 676 is: 934.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.52 : 950.16 = 676 : x
  2. Step 2: Convert to fraction form
    687.52/950.16 = 676/x
  3. Step 3: Cross multiply
    687.52x = 950.16 × 676
  4. Step 4: Simplify right side
    687.52x = 642,308.16
  5. Step 5: Solve for x
    x = 642,308.16/687.52
  6. Step 6: Final answer
    x = 934.24

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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.