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Finding the Fourth Proportional to 944.30, 1,416.25 and 294.68

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Solution

The fourth proportional to 944.30, 1,416.25 and 294.68 is: 441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.30 : 1,416.25 = 294.68 : x
  2. Step 2: Convert to fraction form
    944.30/1,416.25 = 294.68/x
  3. Step 3: Cross multiply
    944.30x = 1,416.25 × 294.68
  4. Step 4: Simplify right side
    944.30x = 417,339.08
  5. Step 5: Solve for x
    x = 417,339.08/944.30
  6. Step 6: Final answer
    x = 441.96

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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.