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Finding the Fourth Proportional to 480.94, 722.76 and 285.97

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Solution

The fourth proportional to 480.94, 722.76 and 285.97 is: 429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.94 : 722.76 = 285.97 : x
  2. Step 2: Convert to fraction form
    480.94/722.76 = 285.97/x
  3. Step 3: Cross multiply
    480.94x = 722.76 × 285.97
  4. Step 4: Simplify right side
    480.94x = 206,687.51
  5. Step 5: Solve for x
    x = 206,687.51/480.94
  6. Step 6: Final answer
    x = 429.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.