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Finding the Fourth Proportional to 1,332.60, 1,998.86 and 408.12

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Solution

The fourth proportional to 1,332.60, 1,998.86 and 408.12 is: 612.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.60 : 1,998.86 = 408.12 : x
  2. Step 2: Convert to fraction form
    1,332.60/1,998.86 = 408.12/x
  3. Step 3: Cross multiply
    1,332.60x = 1,998.86 × 408.12
  4. Step 4: Simplify right side
    1,332.60x = 815,774.74
  5. Step 5: Solve for x
    x = 815,774.74/1,332.60
  6. Step 6: Final answer
    x = 612.17

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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.