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Finding the Fourth Proportional to 794.53, 1,189.02 and 782.25

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Solution

The fourth proportional to 794.53, 1,189.02 and 782.25 is: 1,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.53 : 1,189.02 = 782.25 : x
  2. Step 2: Convert to fraction form
    794.53/1,189.02 = 782.25/x
  3. Step 3: Cross multiply
    794.53x = 1,189.02 × 782.25
  4. Step 4: Simplify right side
    794.53x = 930,110.90
  5. Step 5: Solve for x
    x = 930,110.90/794.53
  6. Step 6: Final answer
    x = 1,170.64

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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.