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Finding the Fourth Proportional to 512.45, 769.03 and 256.13

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Solution

The fourth proportional to 512.45, 769.03 and 256.13 is: 384.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.45 : 769.03 = 256.13 : x
  2. Step 2: Convert to fraction form
    512.45/769.03 = 256.13/x
  3. Step 3: Cross multiply
    512.45x = 769.03 × 256.13
  4. Step 4: Simplify right side
    512.45x = 196,967.17
  5. Step 5: Solve for x
    x = 196,967.17/512.45
  6. Step 6: Final answer
    x = 384.37

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.