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Finding the Fourth Proportional to 943.78, 1,416.33 and 366.64

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Solution

The fourth proportional to 943.78, 1,416.33 and 366.64 is: 550.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.78 : 1,416.33 = 366.64 : x
  2. Step 2: Convert to fraction form
    943.78/1,416.33 = 366.64/x
  3. Step 3: Cross multiply
    943.78x = 1,416.33 × 366.64
  4. Step 4: Simplify right side
    943.78x = 519,283.23
  5. Step 5: Solve for x
    x = 519,283.23/943.78
  6. Step 6: Final answer
    x = 550.22

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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.