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Finding the Fourth Proportional to 477.49, 658.78 and 378.94

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Solution

The fourth proportional to 477.49, 658.78 and 378.94 is: 522.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.49 : 658.78 = 378.94 : x
  2. Step 2: Convert to fraction form
    477.49/658.78 = 378.94/x
  3. Step 3: Cross multiply
    477.49x = 658.78 × 378.94
  4. Step 4: Simplify right side
    477.49x = 249,638.09
  5. Step 5: Solve for x
    x = 249,638.09/477.49
  6. Step 6: Final answer
    x = 522.81

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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.