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Finding the Fourth Proportional to 764.70, 1,144.68 and 746.10

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Solution

The fourth proportional to 764.70, 1,144.68 and 746.10 is: 1,116.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.70 : 1,144.68 = 746.10 : x
  2. Step 2: Convert to fraction form
    764.70/1,144.68 = 746.10/x
  3. Step 3: Cross multiply
    764.70x = 1,144.68 × 746.10
  4. Step 4: Simplify right side
    764.70x = 854,045.75
  5. Step 5: Solve for x
    x = 854,045.75/764.70
  6. Step 6: Final answer
    x = 1,116.84

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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.