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Finding the Fourth Proportional to 937.36, 1,411.63 and 817.12

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Solution

The fourth proportional to 937.36, 1,411.63 and 817.12 is: 1,230.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.36 : 1,411.63 = 817.12 : x
  2. Step 2: Convert to fraction form
    937.36/1,411.63 = 817.12/x
  3. Step 3: Cross multiply
    937.36x = 1,411.63 × 817.12
  4. Step 4: Simplify right side
    937.36x = 1,153,471.11
  5. Step 5: Solve for x
    x = 1,153,471.11/937.36
  6. Step 6: Final answer
    x = 1,230.55

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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.