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Finding the Fourth Proportional to 515.44, 768.68 and 473.44

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Solution

The fourth proportional to 515.44, 768.68 and 473.44 is: 706.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.44 : 768.68 = 473.44 : x
  2. Step 2: Convert to fraction form
    515.44/768.68 = 473.44/x
  3. Step 3: Cross multiply
    515.44x = 768.68 × 473.44
  4. Step 4: Simplify right side
    515.44x = 363,923.86
  5. Step 5: Solve for x
    x = 363,923.86/515.44
  6. Step 6: Final answer
    x = 706.05

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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.