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Finding the Fourth Proportional to 768.42, 1,059.58 and 519.30

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Solution

The fourth proportional to 768.42, 1,059.58 and 519.30 is: 716.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.42 : 1,059.58 = 519.30 : x
  2. Step 2: Convert to fraction form
    768.42/1,059.58 = 519.30/x
  3. Step 3: Cross multiply
    768.42x = 1,059.58 × 519.30
  4. Step 4: Simplify right side
    768.42x = 550,242.57
  5. Step 5: Solve for x
    x = 550,242.57/768.42
  6. Step 6: Final answer
    x = 716.07

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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.