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Finding the Fourth Proportional to 687.68, 950.25 and 521.60

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Solution

The fourth proportional to 687.68, 950.25 and 521.60 is: 720.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.68 : 950.25 = 521.60 : x
  2. Step 2: Convert to fraction form
    687.68/950.25 = 521.60/x
  3. Step 3: Cross multiply
    687.68x = 950.25 × 521.60
  4. Step 4: Simplify right side
    687.68x = 495,650.40
  5. Step 5: Solve for x
    x = 495,650.40/687.68
  6. Step 6: Final answer
    x = 720.76

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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.