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Finding the Fourth Proportional to 864.35, 1,296.61 and 344.23

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Solution

The fourth proportional to 864.35, 1,296.61 and 344.23 is: 516.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.35 : 1,296.61 = 344.23 : x
  2. Step 2: Convert to fraction form
    864.35/1,296.61 = 344.23/x
  3. Step 3: Cross multiply
    864.35x = 1,296.61 × 344.23
  4. Step 4: Simplify right side
    864.35x = 446,332.06
  5. Step 5: Solve for x
    x = 446,332.06/864.35
  6. Step 6: Final answer
    x = 516.38

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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.