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Finding the Fourth Proportional to 937.66, 1,412.09 and 817.38

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Solution

The fourth proportional to 937.66, 1,412.09 and 817.38 is: 1,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.66 : 1,412.09 = 817.38 : x
  2. Step 2: Convert to fraction form
    937.66/1,412.09 = 817.38/x
  3. Step 3: Cross multiply
    937.66x = 1,412.09 × 817.38
  4. Step 4: Simplify right side
    937.66x = 1,154,214.12
  5. Step 5: Solve for x
    x = 1,154,214.12/937.66
  6. Step 6: Final answer
    x = 1,230.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.