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Finding the Fourth Proportional to 423.08, 583.62 and 394.90

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Solution

The fourth proportional to 423.08, 583.62 and 394.90 is: 544.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.08 : 583.62 = 394.90 : x
  2. Step 2: Convert to fraction form
    423.08/583.62 = 394.90/x
  3. Step 3: Cross multiply
    423.08x = 583.62 × 394.90
  4. Step 4: Simplify right side
    423.08x = 230,471.54
  5. Step 5: Solve for x
    x = 230,471.54/423.08
  6. Step 6: Final answer
    x = 544.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.