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Finding the Fourth Proportional to 764.66, 1,147.08 and 418.50

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Solution

The fourth proportional to 764.66, 1,147.08 and 418.50 is: 627.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.66 : 1,147.08 = 418.50 : x
  2. Step 2: Convert to fraction form
    764.66/1,147.08 = 418.50/x
  3. Step 3: Cross multiply
    764.66x = 1,147.08 × 418.50
  4. Step 4: Simplify right side
    764.66x = 480,052.98
  5. Step 5: Solve for x
    x = 480,052.98/764.66
  6. Step 6: Final answer
    x = 627.80

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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.