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Finding the Fourth Proportional to 943.17, 1,408.28 and 767.85

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Solution

The fourth proportional to 943.17, 1,408.28 and 767.85 is: 1,146.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.17 : 1,408.28 = 767.85 : x
  2. Step 2: Convert to fraction form
    943.17/1,408.28 = 767.85/x
  3. Step 3: Cross multiply
    943.17x = 1,408.28 × 767.85
  4. Step 4: Simplify right side
    943.17x = 1,081,347.80
  5. Step 5: Solve for x
    x = 1,081,347.80/943.17
  6. Step 6: Final answer
    x = 1,146.50

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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.