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Finding the Fourth Proportional to 936.50, 1,291.34 and 687.42

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Solution

The fourth proportional to 936.50, 1,291.34 and 687.42 is: 947.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.50 : 1,291.34 = 687.42 : x
  2. Step 2: Convert to fraction form
    936.50/1,291.34 = 687.42/x
  3. Step 3: Cross multiply
    936.50x = 1,291.34 × 687.42
  4. Step 4: Simplify right side
    936.50x = 887,694.66
  5. Step 5: Solve for x
    x = 887,694.66/936.50
  6. Step 6: Final answer
    x = 947.89

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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.