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Finding the Fourth Proportional to 466.17, 643.77 and 399.39

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Solution

The fourth proportional to 466.17, 643.77 and 399.39 is: 551.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.17 : 643.77 = 399.39 : x
  2. Step 2: Convert to fraction form
    466.17/643.77 = 399.39/x
  3. Step 3: Cross multiply
    466.17x = 643.77 × 399.39
  4. Step 4: Simplify right side
    466.17x = 257,115.30
  5. Step 5: Solve for x
    x = 257,115.30/466.17
  6. Step 6: Final answer
    x = 551.55

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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.