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Finding the Fourth Proportional to 782.01, 1,173.02 and 743.09

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Solution

The fourth proportional to 782.01, 1,173.02 and 743.09 is: 1,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.01 : 1,173.02 = 743.09 : x
  2. Step 2: Convert to fraction form
    782.01/1,173.02 = 743.09/x
  3. Step 3: Cross multiply
    782.01x = 1,173.02 × 743.09
  4. Step 4: Simplify right side
    782.01x = 871,649.85
  5. Step 5: Solve for x
    x = 871,649.85/782.01
  6. Step 6: Final answer
    x = 1,114.63

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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.