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Finding the Fourth Proportional to 477.63, 716.24 and 261.36

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Solution

The fourth proportional to 477.63, 716.24 and 261.36 is: 391.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.63 : 716.24 = 261.36 : x
  2. Step 2: Convert to fraction form
    477.63/716.24 = 261.36/x
  3. Step 3: Cross multiply
    477.63x = 716.24 × 261.36
  4. Step 4: Simplify right side
    477.63x = 187,197.14
  5. Step 5: Solve for x
    x = 187,197.14/477.63
  6. Step 6: Final answer
    x = 391.93

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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.