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Finding the Fourth Proportional to 668.81, 1,003.22 and 460.37

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Solution

The fourth proportional to 668.81, 1,003.22 and 460.37 is: 690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.81 : 1,003.22 = 460.37 : x
  2. Step 2: Convert to fraction form
    668.81/1,003.22 = 460.37/x
  3. Step 3: Cross multiply
    668.81x = 1,003.22 × 460.37
  4. Step 4: Simplify right side
    668.81x = 461,854.32
  5. Step 5: Solve for x
    x = 461,854.32/668.81
  6. Step 6: Final answer
    x = 690.56

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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.