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Finding the Fourth Proportional to 767.61, 1,150.52 and 520.29

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Solution

The fourth proportional to 767.61, 1,150.52 and 520.29 is: 779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.61 : 1,150.52 = 520.29 : x
  2. Step 2: Convert to fraction form
    767.61/1,150.52 = 520.29/x
  3. Step 3: Cross multiply
    767.61x = 1,150.52 × 520.29
  4. Step 4: Simplify right side
    767.61x = 598,601.45
  5. Step 5: Solve for x
    x = 598,601.45/767.61
  6. Step 6: Final answer
    x = 779.82

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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.