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Finding the Fourth Proportional to 937.59, 1,408.23 and 808.71

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Solution

The fourth proportional to 937.59, 1,408.23 and 808.71 is: 1,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.59 : 1,408.23 = 808.71 : x
  2. Step 2: Convert to fraction form
    937.59/1,408.23 = 808.71/x
  3. Step 3: Cross multiply
    937.59x = 1,408.23 × 808.71
  4. Step 4: Simplify right side
    937.59x = 1,138,849.68
  5. Step 5: Solve for x
    x = 1,138,849.68/937.59
  6. Step 6: Final answer
    x = 1,214.66

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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.