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Finding the Fourth Proportional to 453.72, 624.60 and 409.92

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Solution

The fourth proportional to 453.72, 624.60 and 409.92 is: 564.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.72 : 624.60 = 409.92 : x
  2. Step 2: Convert to fraction form
    453.72/624.60 = 409.92/x
  3. Step 3: Cross multiply
    453.72x = 624.60 × 409.92
  4. Step 4: Simplify right side
    453.72x = 256,036.03
  5. Step 5: Solve for x
    x = 256,036.03/453.72
  6. Step 6: Final answer
    x = 564.30

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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.