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Finding the Fourth Proportional to 780.52, 1,169.70 and 491.44

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Solution

The fourth proportional to 780.52, 1,169.70 and 491.44 is: 736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.52 : 1,169.70 = 491.44 : x
  2. Step 2: Convert to fraction form
    780.52/1,169.70 = 491.44/x
  3. Step 3: Cross multiply
    780.52x = 1,169.70 × 491.44
  4. Step 4: Simplify right side
    780.52x = 574,837.37
  5. Step 5: Solve for x
    x = 574,837.37/780.52
  6. Step 6: Final answer
    x = 736.48

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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.