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Finding the Fourth Proportional to 1,163.02, 1,744.53 and 297.31

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Solution

The fourth proportional to 1,163.02, 1,744.53 and 297.31 is: 445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,163.02 : 1,744.53 = 297.31 : x
  2. Step 2: Convert to fraction form
    1,163.02/1,744.53 = 297.31/x
  3. Step 3: Cross multiply
    1,163.02x = 1,744.53 × 297.31
  4. Step 4: Simplify right side
    1,163.02x = 518,666.21
  5. Step 5: Solve for x
    x = 518,666.21/1,163.02
  6. Step 6: Final answer
    x = 445.97

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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.