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Finding the Fourth Proportional to 766.26, 1,148.58 and 419.18

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Solution

The fourth proportional to 766.26, 1,148.58 and 419.18 is: 628.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.26 : 1,148.58 = 419.18 : x
  2. Step 2: Convert to fraction form
    766.26/1,148.58 = 419.18/x
  3. Step 3: Cross multiply
    766.26x = 1,148.58 × 419.18
  4. Step 4: Simplify right side
    766.26x = 481,456.02
  5. Step 5: Solve for x
    x = 481,456.02/766.26
  6. Step 6: Final answer
    x = 628.32

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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.