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Finding the Fourth Proportional to 944.49, 1,416.89 and 389.33

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Solution

The fourth proportional to 944.49, 1,416.89 and 389.33 is: 584.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.49 : 1,416.89 = 389.33 : x
  2. Step 2: Convert to fraction form
    944.49/1,416.89 = 389.33/x
  3. Step 3: Cross multiply
    944.49x = 1,416.89 × 389.33
  4. Step 4: Simplify right side
    944.49x = 551,628.75
  5. Step 5: Solve for x
    x = 551,628.75/944.49
  6. Step 6: Final answer
    x = 584.05

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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.