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Finding the Fourth Proportional to 453.74, 624.20 and 409.59

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Solution

The fourth proportional to 453.74, 624.20 and 409.59 is: 563.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.74 : 624.20 = 409.59 : x
  2. Step 2: Convert to fraction form
    453.74/624.20 = 409.59/x
  3. Step 3: Cross multiply
    453.74x = 624.20 × 409.59
  4. Step 4: Simplify right side
    453.74x = 255,664.03
  5. Step 5: Solve for x
    x = 255,664.03/453.74
  6. Step 6: Final answer
    x = 563.47

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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.