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Finding the Fourth Proportional to 767.52, 1,150.20 and 493.56

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Solution

The fourth proportional to 767.52, 1,150.20 and 493.56 is: 739.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.52 : 1,150.20 = 493.56 : x
  2. Step 2: Convert to fraction form
    767.52/1,150.20 = 493.56/x
  3. Step 3: Cross multiply
    767.52x = 1,150.20 × 493.56
  4. Step 4: Simplify right side
    767.52x = 567,692.71
  5. Step 5: Solve for x
    x = 567,692.71/767.52
  6. Step 6: Final answer
    x = 739.65

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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.