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Finding the Fourth Proportional to 769.78, 1,064.27 and 593.32

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Solution

The fourth proportional to 769.78, 1,064.27 and 593.32 is: 820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.78 : 1,064.27 = 593.32 : x
  2. Step 2: Convert to fraction form
    769.78/1,064.27 = 593.32/x
  3. Step 3: Cross multiply
    769.78x = 1,064.27 × 593.32
  4. Step 4: Simplify right side
    769.78x = 631,452.68
  5. Step 5: Solve for x
    x = 631,452.68/769.78
  6. Step 6: Final answer
    x = 820.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.