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Finding the Fourth Proportional to 785.26, 1,177.78 and 492.79

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Solution

The fourth proportional to 785.26, 1,177.78 and 492.79 is: 739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.26 : 1,177.78 = 492.79 : x
  2. Step 2: Convert to fraction form
    785.26/1,177.78 = 492.79/x
  3. Step 3: Cross multiply
    785.26x = 1,177.78 × 492.79
  4. Step 4: Simplify right side
    785.26x = 580,398.21
  5. Step 5: Solve for x
    x = 580,398.21/785.26
  6. Step 6: Final answer
    x = 739.12

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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.