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Finding the Fourth Proportional to 409.44, 609.96 and 390.72

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Solution

The fourth proportional to 409.44, 609.96 and 390.72 is: 582.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.44 : 609.96 = 390.72 : x
  2. Step 2: Convert to fraction form
    409.44/609.96 = 390.72/x
  3. Step 3: Cross multiply
    409.44x = 609.96 × 390.72
  4. Step 4: Simplify right side
    409.44x = 238,323.57
  5. Step 5: Solve for x
    x = 238,323.57/409.44
  6. Step 6: Final answer
    x = 582.07

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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.