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Finding the Fourth Proportional to 764.57, 1,145.11 and 486.90

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Solution

The fourth proportional to 764.57, 1,145.11 and 486.90 is: 729.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.57 : 1,145.11 = 486.90 : x
  2. Step 2: Convert to fraction form
    764.57/1,145.11 = 486.90/x
  3. Step 3: Cross multiply
    764.57x = 1,145.11 × 486.90
  4. Step 4: Simplify right side
    764.57x = 557,554.06
  5. Step 5: Solve for x
    x = 557,554.06/764.57
  6. Step 6: Final answer
    x = 729.24

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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.