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Finding the Fourth Proportional to 1,332.84, 1,998.27 and 920.81

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Solution

The fourth proportional to 1,332.84, 1,998.27 and 920.81 is: 1,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.84 : 1,998.27 = 920.81 : x
  2. Step 2: Convert to fraction form
    1,332.84/1,998.27 = 920.81/x
  3. Step 3: Cross multiply
    1,332.84x = 1,998.27 × 920.81
  4. Step 4: Simplify right side
    1,332.84x = 1,840,017.01
  5. Step 5: Solve for x
    x = 1,840,017.01/1,332.84
  6. Step 6: Final answer
    x = 1,380.52

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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.