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Finding the Fourth Proportional to 480.48, 719.76 and 343.14

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Solution

The fourth proportional to 480.48, 719.76 and 343.14 is: 514.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 719.76 = 343.14 : x
  2. Step 2: Convert to fraction form
    480.48/719.76 = 343.14/x
  3. Step 3: Cross multiply
    480.48x = 719.76 × 343.14
  4. Step 4: Simplify right side
    480.48x = 246,978.45
  5. Step 5: Solve for x
    x = 246,978.45/480.48
  6. Step 6: Final answer
    x = 514.02

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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.