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Finding the Fourth Proportional to 864.97, 1,297.20 and 344.79

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Solution

The fourth proportional to 864.97, 1,297.20 and 344.79 is: 517.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.97 : 1,297.20 = 344.79 : x
  2. Step 2: Convert to fraction form
    864.97/1,297.20 = 344.79/x
  3. Step 3: Cross multiply
    864.97x = 1,297.20 × 344.79
  4. Step 4: Simplify right side
    864.97x = 447,261.59
  5. Step 5: Solve for x
    x = 447,261.59/864.97
  6. Step 6: Final answer
    x = 517.08

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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.