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Finding the Fourth Proportional to 767.68, 1,150.12 and 520.80

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Solution

The fourth proportional to 767.68, 1,150.12 and 520.80 is: 780.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.68 : 1,150.12 = 520.80 : x
  2. Step 2: Convert to fraction form
    767.68/1,150.12 = 520.80/x
  3. Step 3: Cross multiply
    767.68x = 1,150.12 × 520.80
  4. Step 4: Simplify right side
    767.68x = 598,982.50
  5. Step 5: Solve for x
    x = 598,982.50/767.68
  6. Step 6: Final answer
    x = 780.25

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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.