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Finding the Fourth Proportional to 484.14, 728.93 and 426.72

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Solution

The fourth proportional to 484.14, 728.93 and 426.72 is: 642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.14 : 728.93 = 426.72 : x
  2. Step 2: Convert to fraction form
    484.14/728.93 = 426.72/x
  3. Step 3: Cross multiply
    484.14x = 728.93 × 426.72
  4. Step 4: Simplify right side
    484.14x = 311,049.01
  5. Step 5: Solve for x
    x = 311,049.01/484.14
  6. Step 6: Final answer
    x = 642.48

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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.