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Finding the Fourth Proportional to 477.99, 717.69 and 313.97

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Solution

The fourth proportional to 477.99, 717.69 and 313.97 is: 471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.99 : 717.69 = 313.97 : x
  2. Step 2: Convert to fraction form
    477.99/717.69 = 313.97/x
  3. Step 3: Cross multiply
    477.99x = 717.69 × 313.97
  4. Step 4: Simplify right side
    477.99x = 225,329.54
  5. Step 5: Solve for x
    x = 225,329.54/477.99
  6. Step 6: Final answer
    x = 471.41

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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.