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Finding the Fourth Proportional to 1,168.92, 1,752.69 and 438.55

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Solution

The fourth proportional to 1,168.92, 1,752.69 and 438.55 is: 657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.92 : 1,752.69 = 438.55 : x
  2. Step 2: Convert to fraction form
    1,168.92/1,752.69 = 438.55/x
  3. Step 3: Cross multiply
    1,168.92x = 1,752.69 × 438.55
  4. Step 4: Simplify right side
    1,168.92x = 768,642.20
  5. Step 5: Solve for x
    x = 768,642.20/1,168.92
  6. Step 6: Final answer
    x = 657.57

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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.