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Finding the Fourth Proportional to 643.94, 888.26 and 466.70

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Solution

The fourth proportional to 643.94, 888.26 and 466.70 is: 643.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.94 : 888.26 = 466.70 : x
  2. Step 2: Convert to fraction form
    643.94/888.26 = 466.70/x
  3. Step 3: Cross multiply
    643.94x = 888.26 × 466.70
  4. Step 4: Simplify right side
    643.94x = 414,544.17
  5. Step 5: Solve for x
    x = 414,544.17/643.94
  6. Step 6: Final answer
    x = 643.77

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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.