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Finding the Fourth Proportional to 936.25, 1,292.62 and 837.83

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Solution

The fourth proportional to 936.25, 1,292.62 and 837.83 is: 1,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    936.25 : 1,292.62 = 837.83 : x
  2. Step 2: Convert to fraction form
    936.25/1,292.62 = 837.83/x
  3. Step 3: Cross multiply
    936.25x = 1,292.62 × 837.83
  4. Step 4: Simplify right side
    936.25x = 1,082,995.81
  5. Step 5: Solve for x
    x = 1,082,995.81/936.25
  6. Step 6: Final answer
    x = 1,156.74

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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.