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Finding the Fourth Proportional to 511.92, 766.17 and 389.49

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Solution

The fourth proportional to 511.92, 766.17 and 389.49 is: 582.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.92 : 766.17 = 389.49 : x
  2. Step 2: Convert to fraction form
    511.92/766.17 = 389.49/x
  3. Step 3: Cross multiply
    511.92x = 766.17 × 389.49
  4. Step 4: Simplify right side
    511.92x = 298,415.55
  5. Step 5: Solve for x
    x = 298,415.55/511.92
  6. Step 6: Final answer
    x = 582.93

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1.5x scale

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.