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Finding the Fourth Proportional to 477.69, 661.77 and 466.35

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Solution

The fourth proportional to 477.69, 661.77 and 466.35 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.69 : 661.77 = 466.35 : x
  2. Step 2: Convert to fraction form
    477.69/661.77 = 466.35/x
  3. Step 3: Cross multiply
    477.69x = 661.77 × 466.35
  4. Step 4: Simplify right side
    477.69x = 308,616.44
  5. Step 5: Solve for x
    x = 308,616.44/477.69
  6. Step 6: Final answer
    x = 646.06

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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.