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Finding the Fourth Proportional to 480.78, 719.82 and 343.08

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Solution

The fourth proportional to 480.78, 719.82 and 343.08 is: 513.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.78 : 719.82 = 343.08 : x
  2. Step 2: Convert to fraction form
    480.78/719.82 = 343.08/x
  3. Step 3: Cross multiply
    480.78x = 719.82 × 343.08
  4. Step 4: Simplify right side
    480.78x = 246,955.85
  5. Step 5: Solve for x
    x = 246,955.85/480.78
  6. Step 6: Final answer
    x = 513.66

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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.