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Finding the Fourth Proportional to 680.28, 937.12 and 493.22

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Solution

The fourth proportional to 680.28, 937.12 and 493.22 is: 679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.28 : 937.12 = 493.22 : x
  2. Step 2: Convert to fraction form
    680.28/937.12 = 493.22/x
  3. Step 3: Cross multiply
    680.28x = 937.12 × 493.22
  4. Step 4: Simplify right side
    680.28x = 462,206.33
  5. Step 5: Solve for x
    x = 462,206.33/680.28
  6. Step 6: Final answer
    x = 679.44

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1.5x scale

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.