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Finding the Fourth Proportional to 764.86, 1,147.25 and 518.16

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Solution

The fourth proportional to 764.86, 1,147.25 and 518.16 is: 777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.86 : 1,147.25 = 518.16 : x
  2. Step 2: Convert to fraction form
    764.86/1,147.25 = 518.16/x
  3. Step 3: Cross multiply
    764.86x = 1,147.25 × 518.16
  4. Step 4: Simplify right side
    764.86x = 594,460.77
  5. Step 5: Solve for x
    x = 594,460.77/764.86
  6. Step 6: Final answer
    x = 777.22

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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.