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Finding the Fourth Proportional to 864.87, 1,297.08 and 344.94

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Solution

The fourth proportional to 864.87, 1,297.08 and 344.94 is: 517.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.87 : 1,297.08 = 344.94 : x
  2. Step 2: Convert to fraction form
    864.87/1,297.08 = 344.94/x
  3. Step 3: Cross multiply
    864.87x = 1,297.08 × 344.94
  4. Step 4: Simplify right side
    864.87x = 447,414.78
  5. Step 5: Solve for x
    x = 447,414.78/864.87
  6. Step 6: Final answer
    x = 517.32

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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.