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Finding the Fourth Proportional to 512.77, 768.84 and 436.27

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Solution

The fourth proportional to 512.77, 768.84 and 436.27 is: 654.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.77 : 768.84 = 436.27 : x
  2. Step 2: Convert to fraction form
    512.77/768.84 = 436.27/x
  3. Step 3: Cross multiply
    512.77x = 768.84 × 436.27
  4. Step 4: Simplify right side
    512.77x = 335,421.83
  5. Step 5: Solve for x
    x = 335,421.83/512.77
  6. Step 6: Final answer
    x = 654.14

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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.