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Finding the Fourth Proportional to 512.49, 769.77 and 397.16

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Solution

The fourth proportional to 512.49, 769.77 and 397.16 is: 596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.49 : 769.77 = 397.16 : x
  2. Step 2: Convert to fraction form
    512.49/769.77 = 397.16/x
  3. Step 3: Cross multiply
    512.49x = 769.77 × 397.16
  4. Step 4: Simplify right side
    512.49x = 305,718.00
  5. Step 5: Solve for x
    x = 305,718.00/512.49
  6. Step 6: Final answer
    x = 596.53

Related Problems

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Double scale
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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.