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Finding the Fourth Proportional to 943.25, 1,411.29 and 811.49

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Solution

The fourth proportional to 943.25, 1,411.29 and 811.49 is: 1,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.25 : 1,411.29 = 811.49 : x
  2. Step 2: Convert to fraction form
    943.25/1,411.29 = 811.49/x
  3. Step 3: Cross multiply
    943.25x = 1,411.29 × 811.49
  4. Step 4: Simplify right side
    943.25x = 1,145,240.67
  5. Step 5: Solve for x
    x = 1,145,240.67/943.25
  6. Step 6: Final answer
    x = 1,214.15

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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.