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Finding the Fourth Proportional to 766.38, 1,148.53 and 419.19

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Solution

The fourth proportional to 766.38, 1,148.53 and 419.19 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.38 : 1,148.53 = 419.19 : x
  2. Step 2: Convert to fraction form
    766.38/1,148.53 = 419.19/x
  3. Step 3: Cross multiply
    766.38x = 1,148.53 × 419.19
  4. Step 4: Simplify right side
    766.38x = 481,444.45
  5. Step 5: Solve for x
    x = 481,444.45/766.38
  6. Step 6: Final answer
    x = 628.21

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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.