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Finding the Fourth Proportional to 477.95, 717.13 and 261.27

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Solution

The fourth proportional to 477.95, 717.13 and 261.27 is: 392.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.95 : 717.13 = 261.27 : x
  2. Step 2: Convert to fraction form
    477.95/717.13 = 261.27/x
  3. Step 3: Cross multiply
    477.95x = 717.13 × 261.27
  4. Step 4: Simplify right side
    477.95x = 187,366.59
  5. Step 5: Solve for x
    x = 187,366.59/477.95
  6. Step 6: Final answer
    x = 392.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.