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Finding the Fourth Proportional to 764.71, 1,147.07 and 302.47

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Solution

The fourth proportional to 764.71, 1,147.07 and 302.47 is: 453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.71 : 1,147.07 = 302.47 : x
  2. Step 2: Convert to fraction form
    764.71/1,147.07 = 302.47/x
  3. Step 3: Cross multiply
    764.71x = 1,147.07 × 302.47
  4. Step 4: Simplify right side
    764.71x = 346,954.26
  5. Step 5: Solve for x
    x = 346,954.26/764.71
  6. Step 6: Final answer
    x = 453.71

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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.