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Finding the Fourth Proportional to 511.22, 765.66 and 400.64

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Solution

The fourth proportional to 511.22, 765.66 and 400.64 is: 600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.22 : 765.66 = 400.64 : x
  2. Step 2: Convert to fraction form
    511.22/765.66 = 400.64/x
  3. Step 3: Cross multiply
    511.22x = 765.66 × 400.64
  4. Step 4: Simplify right side
    511.22x = 306,750.19
  5. Step 5: Solve for x
    x = 306,750.19/511.22
  6. Step 6: Final answer
    x = 600.04

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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.