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Finding the Fourth Proportional to 943.85, 1,414.59 and 711.98

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Solution

The fourth proportional to 943.85, 1,414.59 and 711.98 is: 1,067.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.85 : 1,414.59 = 711.98 : x
  2. Step 2: Convert to fraction form
    943.85/1,414.59 = 711.98/x
  3. Step 3: Cross multiply
    943.85x = 1,414.59 × 711.98
  4. Step 4: Simplify right side
    943.85x = 1,007,159.79
  5. Step 5: Solve for x
    x = 1,007,159.79/943.85
  6. Step 6: Final answer
    x = 1,067.08

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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.