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Finding the Fourth Proportional to 764.34, 1,146.53 and 331.48

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Solution

The fourth proportional to 764.34, 1,146.53 and 331.48 is: 497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.34 : 1,146.53 = 331.48 : x
  2. Step 2: Convert to fraction form
    764.34/1,146.53 = 331.48/x
  3. Step 3: Cross multiply
    764.34x = 1,146.53 × 331.48
  4. Step 4: Simplify right side
    764.34x = 380,051.76
  5. Step 5: Solve for x
    x = 380,051.76/764.34
  6. Step 6: Final answer
    x = 497.23

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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.