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Finding the Fourth Proportional to 479.82, 713.97 and 478.20

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Solution

The fourth proportional to 479.82, 713.97 and 478.20 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.82 : 713.97 = 478.20 : x
  2. Step 2: Convert to fraction form
    479.82/713.97 = 478.20/x
  3. Step 3: Cross multiply
    479.82x = 713.97 × 478.20
  4. Step 4: Simplify right side
    479.82x = 341,420.45
  5. Step 5: Solve for x
    x = 341,420.45/479.82
  6. Step 6: Final answer
    x = 711.56

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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.