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Finding the Fourth Proportional to 1,332.88, 1,839.51 and 809.21

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Solution

The fourth proportional to 1,332.88, 1,839.51 and 809.21 is: 1,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.88 : 1,839.51 = 809.21 : x
  2. Step 2: Convert to fraction form
    1,332.88/1,839.51 = 809.21/x
  3. Step 3: Cross multiply
    1,332.88x = 1,839.51 × 809.21
  4. Step 4: Simplify right side
    1,332.88x = 1,488,554.49
  5. Step 5: Solve for x
    x = 1,488,554.49/1,332.88
  6. Step 6: Final answer
    x = 1,116.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.