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Finding the Fourth Proportional to 534.42, 798.17 and 453.42

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Solution

The fourth proportional to 534.42, 798.17 and 453.42 is: 677.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.42 : 798.17 = 453.42 : x
  2. Step 2: Convert to fraction form
    534.42/798.17 = 453.42/x
  3. Step 3: Cross multiply
    534.42x = 798.17 × 453.42
  4. Step 4: Simplify right side
    534.42x = 361,903.97
  5. Step 5: Solve for x
    x = 361,903.97/534.42
  6. Step 6: Final answer
    x = 677.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.