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Finding the Fourth Proportional to 511.18, 766.77 and 408.32

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Solution

The fourth proportional to 511.18, 766.77 and 408.32 is: 612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.18 : 766.77 = 408.32 : x
  2. Step 2: Convert to fraction form
    511.18/766.77 = 408.32/x
  3. Step 3: Cross multiply
    511.18x = 766.77 × 408.32
  4. Step 4: Simplify right side
    511.18x = 313,089.35
  5. Step 5: Solve for x
    x = 313,089.35/511.18
  6. Step 6: Final answer
    x = 612.49

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Double scale
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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.