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Finding the Fourth Proportional to 477.14, 713.03 and 450.81

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Solution

The fourth proportional to 477.14, 713.03 and 450.81 is: 673.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.14 : 713.03 = 450.81 : x
  2. Step 2: Convert to fraction form
    477.14/713.03 = 450.81/x
  3. Step 3: Cross multiply
    477.14x = 713.03 × 450.81
  4. Step 4: Simplify right side
    477.14x = 321,438.80
  5. Step 5: Solve for x
    x = 321,438.80/477.14
  6. Step 6: Final answer
    x = 673.69

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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.