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Finding the Fourth Proportional to 654.96, 984.16 and 395.76

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Solution

The fourth proportional to 654.96, 984.16 and 395.76 is: 594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.96 : 984.16 = 395.76 : x
  2. Step 2: Convert to fraction form
    654.96/984.16 = 395.76/x
  3. Step 3: Cross multiply
    654.96x = 984.16 × 395.76
  4. Step 4: Simplify right side
    654.96x = 389,491.16
  5. Step 5: Solve for x
    x = 389,491.16/654.96
  6. Step 6: Final answer
    x = 594.68

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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.