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Finding the Fourth Proportional to 944.94, 1,416.12 and 396.78

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Solution

The fourth proportional to 944.94, 1,416.12 and 396.78 is: 594.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.94 : 1,416.12 = 396.78 : x
  2. Step 2: Convert to fraction form
    944.94/1,416.12 = 396.78/x
  3. Step 3: Cross multiply
    944.94x = 1,416.12 × 396.78
  4. Step 4: Simplify right side
    944.94x = 561,888.09
  5. Step 5: Solve for x
    x = 561,888.09/944.94
  6. Step 6: Final answer
    x = 594.63

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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.