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Finding the Fourth Proportional to 477.11, 661.77 and 464.46

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Solution

The fourth proportional to 477.11, 661.77 and 464.46 is: 644.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.11 : 661.77 = 464.46 : x
  2. Step 2: Convert to fraction form
    477.11/661.77 = 464.46/x
  3. Step 3: Cross multiply
    477.11x = 661.77 × 464.46
  4. Step 4: Simplify right side
    477.11x = 307,365.69
  5. Step 5: Solve for x
    x = 307,365.69/477.11
  6. Step 6: Final answer
    x = 644.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.