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Finding the Fourth Proportional to 1,168, 1,752.04 and 398.52

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Solution

The fourth proportional to 1,168, 1,752.04 and 398.52 is: 597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168 : 1,752.04 = 398.52 : x
  2. Step 2: Convert to fraction form
    1,168/1,752.04 = 398.52/x
  3. Step 3: Cross multiply
    1,168x = 1,752.04 × 398.52
  4. Step 4: Simplify right side
    1,168x = 698,222.98
  5. Step 5: Solve for x
    x = 698,222.98/1,168
  6. Step 6: Final answer
    x = 597.79

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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.