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Finding the Fourth Proportional to 519.46, 774.40 and 493.49

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Solution

The fourth proportional to 519.46, 774.40 and 493.49 is: 735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.46 : 774.40 = 493.49 : x
  2. Step 2: Convert to fraction form
    519.46/774.40 = 493.49/x
  3. Step 3: Cross multiply
    519.46x = 774.40 × 493.49
  4. Step 4: Simplify right side
    519.46x = 382,152.32
  5. Step 5: Solve for x
    x = 382,152.32/519.46
  6. Step 6: Final answer
    x = 735.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.