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Finding the Fourth Proportional to 511.61, 766.43 and 419.56

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Solution

The fourth proportional to 511.61, 766.43 and 419.56 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.61 : 766.43 = 419.56 : x
  2. Step 2: Convert to fraction form
    511.61/766.43 = 419.56/x
  3. Step 3: Cross multiply
    511.61x = 766.43 × 419.56
  4. Step 4: Simplify right side
    511.61x = 321,565.38
  5. Step 5: Solve for x
    x = 321,565.38/511.61
  6. Step 6: Final answer
    x = 628.54

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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.