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Finding the Fourth Proportional to 944.23, 1,416.42 and 396.58

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Solution

The fourth proportional to 944.23, 1,416.42 and 396.58 is: 594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.23 : 1,416.42 = 396.58 : x
  2. Step 2: Convert to fraction form
    944.23/1,416.42 = 396.58/x
  3. Step 3: Cross multiply
    944.23x = 1,416.42 × 396.58
  4. Step 4: Simplify right side
    944.23x = 561,723.84
  5. Step 5: Solve for x
    x = 561,723.84/944.23
  6. Step 6: Final answer
    x = 594.90

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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.