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Finding the Fourth Proportional to 484.36, 729.27 and 426.95

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Solution

The fourth proportional to 484.36, 729.27 and 426.95 is: 642.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.36 : 729.27 = 426.95 : x
  2. Step 2: Convert to fraction form
    484.36/729.27 = 426.95/x
  3. Step 3: Cross multiply
    484.36x = 729.27 × 426.95
  4. Step 4: Simplify right side
    484.36x = 311,362.52
  5. Step 5: Solve for x
    x = 311,362.52/484.36
  6. Step 6: Final answer
    x = 642.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.