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Finding the Fourth Proportional to 794.85, 1,189.90 and 547.53

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Solution

The fourth proportional to 794.85, 1,189.90 and 547.53 is: 819.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.85 : 1,189.90 = 547.53 : x
  2. Step 2: Convert to fraction form
    794.85/1,189.90 = 547.53/x
  3. Step 3: Cross multiply
    794.85x = 1,189.90 × 547.53
  4. Step 4: Simplify right side
    794.85x = 651,505.95
  5. Step 5: Solve for x
    x = 651,505.95/794.85
  6. Step 6: Final answer
    x = 819.66

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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.