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Finding the Fourth Proportional to 477.73, 716.46 and 246.55

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Solution

The fourth proportional to 477.73, 716.46 and 246.55 is: 369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.73 : 716.46 = 246.55 : x
  2. Step 2: Convert to fraction form
    477.73/716.46 = 246.55/x
  3. Step 3: Cross multiply
    477.73x = 716.46 × 246.55
  4. Step 4: Simplify right side
    477.73x = 176,643.21
  5. Step 5: Solve for x
    x = 176,643.21/477.73
  6. Step 6: Final answer
    x = 369.76

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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.