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Finding the Fourth Proportional to 552.26, 762.79 and 412.99

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Solution

The fourth proportional to 552.26, 762.79 and 412.99 is: 570.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.26 : 762.79 = 412.99 : x
  2. Step 2: Convert to fraction form
    552.26/762.79 = 412.99/x
  3. Step 3: Cross multiply
    552.26x = 762.79 × 412.99
  4. Step 4: Simplify right side
    552.26x = 315,024.56
  5. Step 5: Solve for x
    x = 315,024.56/552.26
  6. Step 6: Final answer
    x = 570.43

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1.5x scale

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.