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Finding the Fourth Proportional to 784.48, 1,170.99 and 727.38

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Solution

The fourth proportional to 784.48, 1,170.99 and 727.38 is: 1,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.48 : 1,170.99 = 727.38 : x
  2. Step 2: Convert to fraction form
    784.48/1,170.99 = 727.38/x
  3. Step 3: Cross multiply
    784.48x = 1,170.99 × 727.38
  4. Step 4: Simplify right side
    784.48x = 851,748.85
  5. Step 5: Solve for x
    x = 851,748.85/784.48
  6. Step 6: Final answer
    x = 1,085.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.