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Finding the Fourth Proportional to 643.49, 887.71 and 466.16

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Solution

The fourth proportional to 643.49, 887.71 and 466.16 is: 643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.49 : 887.71 = 466.16 : x
  2. Step 2: Convert to fraction form
    643.49/887.71 = 466.16/x
  3. Step 3: Cross multiply
    643.49x = 887.71 × 466.16
  4. Step 4: Simplify right side
    643.49x = 413,817.65
  5. Step 5: Solve for x
    x = 413,817.65/643.49
  6. Step 6: Final answer
    x = 643.08

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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.