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Finding the Fourth Proportional to 936.68, 1,292.64 and 626

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Solution

The fourth proportional to 936.68, 1,292.64 and 626 is: 863.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.68 : 1,292.64 = 626 : x
  2. Step 2: Convert to fraction form
    936.68/1,292.64 = 626/x
  3. Step 3: Cross multiply
    936.68x = 1,292.64 × 626
  4. Step 4: Simplify right side
    936.68x = 809,192.64
  5. Step 5: Solve for x
    x = 809,192.64/936.68
  6. Step 6: Final answer
    x = 863.89

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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.