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Finding the Fourth Proportional to 477.96, 717.55 and 261.69

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Solution

The fourth proportional to 477.96, 717.55 and 261.69 is: 392.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 717.55 = 261.69 : x
  2. Step 2: Convert to fraction form
    477.96/717.55 = 261.69/x
  3. Step 3: Cross multiply
    477.96x = 717.55 × 261.69
  4. Step 4: Simplify right side
    477.96x = 187,775.66
  5. Step 5: Solve for x
    x = 187,775.66/477.96
  6. Step 6: Final answer
    x = 392.87

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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.