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Finding the Fourth Proportional to 1,168.13, 1,752.49 and 398.63

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Solution

The fourth proportional to 1,168.13, 1,752.49 and 398.63 is: 598.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.13 : 1,752.49 = 398.63 : x
  2. Step 2: Convert to fraction form
    1,168.13/1,752.49 = 398.63/x
  3. Step 3: Cross multiply
    1,168.13x = 1,752.49 × 398.63
  4. Step 4: Simplify right side
    1,168.13x = 698,586.33
  5. Step 5: Solve for x
    x = 698,586.33/1,168.13
  6. Step 6: Final answer
    x = 598.04

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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.