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Finding the Fourth Proportional to 643.82, 964.37 and 585.73

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Solution

The fourth proportional to 643.82, 964.37 and 585.73 is: 877.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.82 : 964.37 = 585.73 : x
  2. Step 2: Convert to fraction form
    643.82/964.37 = 585.73/x
  3. Step 3: Cross multiply
    643.82x = 964.37 × 585.73
  4. Step 4: Simplify right side
    643.82x = 564,852.69
  5. Step 5: Solve for x
    x = 564,852.69/643.82
  6. Step 6: Final answer
    x = 877.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.