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Finding the Fourth Proportional to 937, 1,398.92 and 800.11

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Solution

The fourth proportional to 937, 1,398.92 and 800.11 is: 1,194.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    937 : 1,398.92 = 800.11 : x
  2. Step 2: Convert to fraction form
    937/1,398.92 = 800.11/x
  3. Step 3: Cross multiply
    937x = 1,398.92 × 800.11
  4. Step 4: Simplify right side
    937x = 1,119,289.88
  5. Step 5: Solve for x
    x = 1,119,289.88/937
  6. Step 6: Final answer
    x = 1,194.55

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.