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Finding the Fourth Proportional to 668.81, 1,003.21 and 552.17

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Solution

The fourth proportional to 668.81, 1,003.21 and 552.17 is: 828.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.81 : 1,003.21 = 552.17 : x
  2. Step 2: Convert to fraction form
    668.81/1,003.21 = 552.17/x
  3. Step 3: Cross multiply
    668.81x = 1,003.21 × 552.17
  4. Step 4: Simplify right side
    668.81x = 553,943.59
  5. Step 5: Solve for x
    x = 553,943.59/668.81
  6. Step 6: Final answer
    x = 828.25

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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.