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Finding the Fourth Proportional to 668.81, 1,002.74 and 360.47

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Solution

The fourth proportional to 668.81, 1,002.74 and 360.47 is: 540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.81 : 1,002.74 = 360.47 : x
  2. Step 2: Convert to fraction form
    668.81/1,002.74 = 360.47/x
  3. Step 3: Cross multiply
    668.81x = 1,002.74 × 360.47
  4. Step 4: Simplify right side
    668.81x = 361,450.87
  5. Step 5: Solve for x
    x = 361,450.87/668.81
  6. Step 6: Final answer
    x = 540.44

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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.