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Finding the Fourth Proportional to 511.32, 765.76 and 294.24

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Solution

The fourth proportional to 511.32, 765.76 and 294.24 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.32 : 765.76 = 294.24 : x
  2. Step 2: Convert to fraction form
    511.32/765.76 = 294.24/x
  3. Step 3: Cross multiply
    511.32x = 765.76 × 294.24
  4. Step 4: Simplify right side
    511.32x = 225,317.22
  5. Step 5: Solve for x
    x = 225,317.22/511.32
  6. Step 6: Final answer
    x = 440.66

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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.