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Finding the Fourth Proportional to 766.44, 1,149.81 and 420.06

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Solution

The fourth proportional to 766.44, 1,149.81 and 420.06 is: 630.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.44 : 1,149.81 = 420.06 : x
  2. Step 2: Convert to fraction form
    766.44/1,149.81 = 420.06/x
  3. Step 3: Cross multiply
    766.44x = 1,149.81 × 420.06
  4. Step 4: Simplify right side
    766.44x = 482,989.19
  5. Step 5: Solve for x
    x = 482,989.19/766.44
  6. Step 6: Final answer
    x = 630.17

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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.