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Finding the Fourth Proportional to 1,168.52, 1,753.10 and 399.08

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Solution

The fourth proportional to 1,168.52, 1,753.10 and 399.08 is: 598.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.52 : 1,753.10 = 399.08 : x
  2. Step 2: Convert to fraction form
    1,168.52/1,753.10 = 399.08/x
  3. Step 3: Cross multiply
    1,168.52x = 1,753.10 × 399.08
  4. Step 4: Simplify right side
    1,168.52x = 699,627.15
  5. Step 5: Solve for x
    x = 699,627.15/1,168.52
  6. Step 6: Final answer
    x = 598.73

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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.