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Finding the Fourth Proportional to 1,332.09, 1,997.33 and 407.39

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Solution

The fourth proportional to 1,332.09, 1,997.33 and 407.39 is: 610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.09 : 1,997.33 = 407.39 : x
  2. Step 2: Convert to fraction form
    1,332.09/1,997.33 = 407.39/x
  3. Step 3: Cross multiply
    1,332.09x = 1,997.33 × 407.39
  4. Step 4: Simplify right side
    1,332.09x = 813,680.25
  5. Step 5: Solve for x
    x = 813,680.25/1,332.09
  6. Step 6: Final answer
    x = 610.83

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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.