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Finding the Fourth Proportional to 512.19, 767.43 and 492.21

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Solution

The fourth proportional to 512.19, 767.43 and 492.21 is: 737.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.19 : 767.43 = 492.21 : x
  2. Step 2: Convert to fraction form
    512.19/767.43 = 492.21/x
  3. Step 3: Cross multiply
    512.19x = 767.43 × 492.21
  4. Step 4: Simplify right side
    512.19x = 377,736.72
  5. Step 5: Solve for x
    x = 377,736.72/512.19
  6. Step 6: Final answer
    x = 737.49

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1.5x scale

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.