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Finding the Fourth Proportional to 763.84, 1,144.41 and 519.49

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Solution

The fourth proportional to 763.84, 1,144.41 and 519.49 is: 778.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.84 : 1,144.41 = 519.49 : x
  2. Step 2: Convert to fraction form
    763.84/1,144.41 = 519.49/x
  3. Step 3: Cross multiply
    763.84x = 1,144.41 × 519.49
  4. Step 4: Simplify right side
    763.84x = 594,509.55
  5. Step 5: Solve for x
    x = 594,509.55/763.84
  6. Step 6: Final answer
    x = 778.32

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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.