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Finding the Fourth Proportional to 944.20, 1,416.38 and 431.08

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Solution

The fourth proportional to 944.20, 1,416.38 and 431.08 is: 646.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.20 : 1,416.38 = 431.08 : x
  2. Step 2: Convert to fraction form
    944.20/1,416.38 = 431.08/x
  3. Step 3: Cross multiply
    944.20x = 1,416.38 × 431.08
  4. Step 4: Simplify right side
    944.20x = 610,573.09
  5. Step 5: Solve for x
    x = 610,573.09/944.20
  6. Step 6: Final answer
    x = 646.66

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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.