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Finding the Fourth Proportional to 864.13, 1,296.42 and 453.16

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Solution

The fourth proportional to 864.13, 1,296.42 and 453.16 is: 679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.13 : 1,296.42 = 453.16 : x
  2. Step 2: Convert to fraction form
    864.13/1,296.42 = 453.16/x
  3. Step 3: Cross multiply
    864.13x = 1,296.42 × 453.16
  4. Step 4: Simplify right side
    864.13x = 587,479.21
  5. Step 5: Solve for x
    x = 587,479.21/864.13
  6. Step 6: Final answer
    x = 679.85

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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.