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Finding the Fourth Proportional to 511.40, 766.20 and 419.60

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Solution

The fourth proportional to 511.40, 766.20 and 419.60 is: 628.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 766.20 = 419.60 : x
  2. Step 2: Convert to fraction form
    511.40/766.20 = 419.60/x
  3. Step 3: Cross multiply
    511.40x = 766.20 × 419.60
  4. Step 4: Simplify right side
    511.40x = 321,497.52
  5. Step 5: Solve for x
    x = 321,497.52/511.40
  6. Step 6: Final answer
    x = 628.66

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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.