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Finding the Fourth Proportional to 1,173.49, 1,760.16 and 351.78

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Solution

The fourth proportional to 1,173.49, 1,760.16 and 351.78 is: 527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.49 : 1,760.16 = 351.78 : x
  2. Step 2: Convert to fraction form
    1,173.49/1,760.16 = 351.78/x
  3. Step 3: Cross multiply
    1,173.49x = 1,760.16 × 351.78
  4. Step 4: Simplify right side
    1,173.49x = 619,189.08
  5. Step 5: Solve for x
    x = 619,189.08/1,173.49
  6. Step 6: Final answer
    x = 527.65

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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.