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Finding the Fourth Proportional to 477.47, 658.97 and 330.05

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Solution

The fourth proportional to 477.47, 658.97 and 330.05 is: 455.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.47 : 658.97 = 330.05 : x
  2. Step 2: Convert to fraction form
    477.47/658.97 = 330.05/x
  3. Step 3: Cross multiply
    477.47x = 658.97 × 330.05
  4. Step 4: Simplify right side
    477.47x = 217,488.10
  5. Step 5: Solve for x
    x = 217,488.10/477.47
  6. Step 6: Final answer
    x = 455.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.