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Finding the Fourth Proportional to 1,332.85, 1,839.72 and 773.58

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Solution

The fourth proportional to 1,332.85, 1,839.72 and 773.58 is: 1,067.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.85 : 1,839.72 = 773.58 : x
  2. Step 2: Convert to fraction form
    1,332.85/1,839.72 = 773.58/x
  3. Step 3: Cross multiply
    1,332.85x = 1,839.72 × 773.58
  4. Step 4: Simplify right side
    1,332.85x = 1,423,161.40
  5. Step 5: Solve for x
    x = 1,423,161.40/1,332.85
  6. Step 6: Final answer
    x = 1,067.76

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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.