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Finding the Fourth Proportional to 477.36, 711.11 and 447.46

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Solution

The fourth proportional to 477.36, 711.11 and 447.46 is: 666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.36 : 711.11 = 447.46 : x
  2. Step 2: Convert to fraction form
    477.36/711.11 = 447.46/x
  3. Step 3: Cross multiply
    477.36x = 711.11 × 447.46
  4. Step 4: Simplify right side
    477.36x = 318,192.62
  5. Step 5: Solve for x
    x = 318,192.62/477.36
  6. Step 6: Final answer
    x = 666.57

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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.