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Finding the Fourth Proportional to 477.18, 711.97 and 396.18

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Solution

The fourth proportional to 477.18, 711.97 and 396.18 is: 591.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.18 : 711.97 = 396.18 : x
  2. Step 2: Convert to fraction form
    477.18/711.97 = 396.18/x
  3. Step 3: Cross multiply
    477.18x = 711.97 × 396.18
  4. Step 4: Simplify right side
    477.18x = 282,067.28
  5. Step 5: Solve for x
    x = 282,067.28/477.18
  6. Step 6: Final answer
    x = 591.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.