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Finding the Fourth Proportional to 511.70, 764.09 and 414.29

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Solution

The fourth proportional to 511.70, 764.09 and 414.29 is: 618.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.70 : 764.09 = 414.29 : x
  2. Step 2: Convert to fraction form
    511.70/764.09 = 414.29/x
  3. Step 3: Cross multiply
    511.70x = 764.09 × 414.29
  4. Step 4: Simplify right side
    511.70x = 316,556.24
  5. Step 5: Solve for x
    x = 316,556.24/511.70
  6. Step 6: Final answer
    x = 618.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.