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Finding the Fourth Proportional to 1,168.18, 1,752.46 and 398.50

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Solution

The fourth proportional to 1,168.18, 1,752.46 and 398.50 is: 597.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.18 : 1,752.46 = 398.50 : x
  2. Step 2: Convert to fraction form
    1,168.18/1,752.46 = 398.50/x
  3. Step 3: Cross multiply
    1,168.18x = 1,752.46 × 398.50
  4. Step 4: Simplify right side
    1,168.18x = 698,355.31
  5. Step 5: Solve for x
    x = 698,355.31/1,168.18
  6. Step 6: Final answer
    x = 597.81

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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.