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Finding the Fourth Proportional to 764.56, 1,145.24 and 354.05

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Solution

The fourth proportional to 764.56, 1,145.24 and 354.05 is: 530.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.56 : 1,145.24 = 354.05 : x
  2. Step 2: Convert to fraction form
    764.56/1,145.24 = 354.05/x
  3. Step 3: Cross multiply
    764.56x = 1,145.24 × 354.05
  4. Step 4: Simplify right side
    764.56x = 405,467.13
  5. Step 5: Solve for x
    x = 405,467.13/764.56
  6. Step 6: Final answer
    x = 530.32

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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.