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Finding the Fourth Proportional to 764.70, 1,052.88 and 617.70

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Solution

The fourth proportional to 764.70, 1,052.88 and 617.70 is: 850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.70 : 1,052.88 = 617.70 : x
  2. Step 2: Convert to fraction form
    764.70/1,052.88 = 617.70/x
  3. Step 3: Cross multiply
    764.70x = 1,052.88 × 617.70
  4. Step 4: Simplify right side
    764.70x = 650,363.98
  5. Step 5: Solve for x
    x = 650,363.98/764.70
  6. Step 6: Final answer
    x = 850.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.