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Finding the Fourth Proportional to 1,165.02, 1,747.86 and 343.36

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Solution

The fourth proportional to 1,165.02, 1,747.86 and 343.36 is: 515.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.02 : 1,747.86 = 343.36 : x
  2. Step 2: Convert to fraction form
    1,165.02/1,747.86 = 343.36/x
  3. Step 3: Cross multiply
    1,165.02x = 1,747.86 × 343.36
  4. Step 4: Simplify right side
    1,165.02x = 600,145.21
  5. Step 5: Solve for x
    x = 600,145.21/1,165.02
  6. Step 6: Final answer
    x = 515.14

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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.