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Finding the Fourth Proportional to 864.58, 1,296.42 and 453.64

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Solution

The fourth proportional to 864.58, 1,296.42 and 453.64 is: 680.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.58 : 1,296.42 = 453.64 : x
  2. Step 2: Convert to fraction form
    864.58/1,296.42 = 453.64/x
  3. Step 3: Cross multiply
    864.58x = 1,296.42 × 453.64
  4. Step 4: Simplify right side
    864.58x = 588,107.97
  5. Step 5: Solve for x
    x = 588,107.97/864.58
  6. Step 6: Final answer
    x = 680.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.