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Finding the Fourth Proportional to 939.71, 1,410.39 and 446.72

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Solution

The fourth proportional to 939.71, 1,410.39 and 446.72 is: 670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.71 : 1,410.39 = 446.72 : x
  2. Step 2: Convert to fraction form
    939.71/1,410.39 = 446.72/x
  3. Step 3: Cross multiply
    939.71x = 1,410.39 × 446.72
  4. Step 4: Simplify right side
    939.71x = 630,049.42
  5. Step 5: Solve for x
    x = 630,049.42/939.71
  6. Step 6: Final answer
    x = 670.47

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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.