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Finding the Fourth Proportional to 1,789.79, 2,684.78 and 491.36

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Solution

The fourth proportional to 1,789.79, 2,684.78 and 491.36 is: 737.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.79 : 2,684.78 = 491.36 : x
  2. Step 2: Convert to fraction form
    1,789.79/2,684.78 = 491.36/x
  3. Step 3: Cross multiply
    1,789.79x = 2,684.78 × 491.36
  4. Step 4: Simplify right side
    1,789.79x = 1,319,177.62
  5. Step 5: Solve for x
    x = 1,319,177.62/1,789.79
  6. Step 6: Final answer
    x = 737.06

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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.