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Finding the Fourth Proportional to 764.40, 1,146.48 and 277.68

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Solution

The fourth proportional to 764.40, 1,146.48 and 277.68 is: 416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    764.40 : 1,146.48 = 277.68 : x
  2. Step 2: Convert to fraction form
    764.40/1,146.48 = 277.68/x
  3. Step 3: Cross multiply
    764.40x = 1,146.48 × 277.68
  4. Step 4: Simplify right side
    764.40x = 318,354.57
  5. Step 5: Solve for x
    x = 318,354.57/764.40
  6. Step 6: Final answer
    x = 416.48

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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.