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Finding the Fourth Proportional to 471.56, 652.02 and 393.80

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Solution

The fourth proportional to 471.56, 652.02 and 393.80 is: 544.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.56 : 652.02 = 393.80 : x
  2. Step 2: Convert to fraction form
    471.56/652.02 = 393.80/x
  3. Step 3: Cross multiply
    471.56x = 652.02 × 393.80
  4. Step 4: Simplify right side
    471.56x = 256,765.48
  5. Step 5: Solve for x
    x = 256,765.48/471.56
  6. Step 6: Final answer
    x = 544.50

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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.