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Finding the Fourth Proportional to 487.08, 727.31 and 394.74

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Solution

The fourth proportional to 487.08, 727.31 and 394.74 is: 589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.08 : 727.31 = 394.74 : x
  2. Step 2: Convert to fraction form
    487.08/727.31 = 394.74/x
  3. Step 3: Cross multiply
    487.08x = 727.31 × 394.74
  4. Step 4: Simplify right side
    487.08x = 287,099.34
  5. Step 5: Solve for x
    x = 287,099.34/487.08
  6. Step 6: Final answer
    x = 589.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.