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Finding the Fourth Proportional to 453.71, 622.58 and 412.13

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Solution

The fourth proportional to 453.71, 622.58 and 412.13 is: 565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.71 : 622.58 = 412.13 : x
  2. Step 2: Convert to fraction form
    453.71/622.58 = 412.13/x
  3. Step 3: Cross multiply
    453.71x = 622.58 × 412.13
  4. Step 4: Simplify right side
    453.71x = 256,578.72
  5. Step 5: Solve for x
    x = 256,578.72/453.71
  6. Step 6: Final answer
    x = 565.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.