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Finding the Fourth Proportional to 768.12, 1,059.38 and 519.36

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Solution

The fourth proportional to 768.12, 1,059.38 and 519.36 is: 716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.12 : 1,059.38 = 519.36 : x
  2. Step 2: Convert to fraction form
    768.12/1,059.38 = 519.36/x
  3. Step 3: Cross multiply
    768.12x = 1,059.38 × 519.36
  4. Step 4: Simplify right side
    768.12x = 550,199.60
  5. Step 5: Solve for x
    x = 550,199.60/768.12
  6. Step 6: Final answer
    x = 716.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.