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Finding the Fourth Proportional to 512.20, 741.25 and 512.20

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Solution

The fourth proportional to 512.20, 741.25 and 512.20 is: 741.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.20 : 741.25 = 512.20 : x
  2. Step 2: Convert to fraction form
    512.20/741.25 = 512.20/x
  3. Step 3: Cross multiply
    512.20x = 741.25 × 512.20
  4. Step 4: Simplify right side
    512.20x = 379,668.25
  5. Step 5: Solve for x
    x = 379,668.25/512.20
  6. Step 6: Final answer
    x = 741.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.