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Finding the Fourth Proportional to 512.75, 707.66 and 305.75

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Solution

The fourth proportional to 512.75, 707.66 and 305.75 is: 421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.75 : 707.66 = 305.75 : x
  2. Step 2: Convert to fraction form
    512.75/707.66 = 305.75/x
  3. Step 3: Cross multiply
    512.75x = 707.66 × 305.75
  4. Step 4: Simplify right side
    512.75x = 216,367.05
  5. Step 5: Solve for x
    x = 216,367.05/512.75
  6. Step 6: Final answer
    x = 421.97

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Find fourth proportional to 256.38, 353.83 and 152.88
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.