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Finding the Fourth Proportional to 453.20, 624.84 and 383.12

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Solution

The fourth proportional to 453.20, 624.84 and 383.12 is: 528.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.20 : 624.84 = 383.12 : x
  2. Step 2: Convert to fraction form
    453.20/624.84 = 383.12/x
  3. Step 3: Cross multiply
    453.20x = 624.84 × 383.12
  4. Step 4: Simplify right side
    453.20x = 239,388.70
  5. Step 5: Solve for x
    x = 239,388.70/453.20
  6. Step 6: Final answer
    x = 528.22

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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.