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Finding the Fourth Proportional to 477.96, 661.39 and 407.91

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Solution

The fourth proportional to 477.96, 661.39 and 407.91 is: 564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.96 : 661.39 = 407.91 : x
  2. Step 2: Convert to fraction form
    477.96/661.39 = 407.91/x
  3. Step 3: Cross multiply
    477.96x = 661.39 × 407.91
  4. Step 4: Simplify right side
    477.96x = 269,787.59
  5. Step 5: Solve for x
    x = 269,787.59/477.96
  6. Step 6: Final answer
    x = 564.46

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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.