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Finding the Fourth Proportional to 764.42, 1,147.16 and 302.21

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Solution

The fourth proportional to 764.42, 1,147.16 and 302.21 is: 453.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.42 : 1,147.16 = 302.21 : x
  2. Step 2: Convert to fraction form
    764.42/1,147.16 = 302.21/x
  3. Step 3: Cross multiply
    764.42x = 1,147.16 × 302.21
  4. Step 4: Simplify right side
    764.42x = 346,682.55
  5. Step 5: Solve for x
    x = 346,682.55/764.42
  6. Step 6: Final answer
    x = 453.53

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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.