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Finding the Fourth Proportional to 863.77, 1,294.93 and 343.45

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Solution

The fourth proportional to 863.77, 1,294.93 and 343.45 is: 514.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.77 : 1,294.93 = 343.45 : x
  2. Step 2: Convert to fraction form
    863.77/1,294.93 = 343.45/x
  3. Step 3: Cross multiply
    863.77x = 1,294.93 × 343.45
  4. Step 4: Simplify right side
    863.77x = 444,743.71
  5. Step 5: Solve for x
    x = 444,743.71/863.77
  6. Step 6: Final answer
    x = 514.89

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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.