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Finding the Fourth Proportional to 688.01, 948.97 and 422.47

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Solution

The fourth proportional to 688.01, 948.97 and 422.47 is: 582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.01 : 948.97 = 422.47 : x
  2. Step 2: Convert to fraction form
    688.01/948.97 = 422.47/x
  3. Step 3: Cross multiply
    688.01x = 948.97 × 422.47
  4. Step 4: Simplify right side
    688.01x = 400,908.98
  5. Step 5: Solve for x
    x = 400,908.98/688.01
  6. Step 6: Final answer
    x = 582.71

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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.