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Finding the Fourth Proportional to 864.39, 1,296.74 and 344.23

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Solution

The fourth proportional to 864.39, 1,296.74 and 344.23 is: 516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.39 : 1,296.74 = 344.23 : x
  2. Step 2: Convert to fraction form
    864.39/1,296.74 = 344.23/x
  3. Step 3: Cross multiply
    864.39x = 1,296.74 × 344.23
  4. Step 4: Simplify right side
    864.39x = 446,374.43
  5. Step 5: Solve for x
    x = 446,374.43/864.39
  6. Step 6: Final answer
    x = 516.40

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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.