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Finding the Fourth Proportional to 511.43, 766.34 and 364.49

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Solution

The fourth proportional to 511.43, 766.34 and 364.49 is: 546.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.43 : 766.34 = 364.49 : x
  2. Step 2: Convert to fraction form
    511.43/766.34 = 364.49/x
  3. Step 3: Cross multiply
    511.43x = 766.34 × 364.49
  4. Step 4: Simplify right side
    511.43x = 279,317.61
  5. Step 5: Solve for x
    x = 279,317.61/511.43
  6. Step 6: Final answer
    x = 546.16

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Similar ratio
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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.