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Finding the Fourth Proportional to 514.80, 768.42 and 482.40

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Solution

The fourth proportional to 514.80, 768.42 and 482.40 is: 720.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.80 : 768.42 = 482.40 : x
  2. Step 2: Convert to fraction form
    514.80/768.42 = 482.40/x
  3. Step 3: Cross multiply
    514.80x = 768.42 × 482.40
  4. Step 4: Simplify right side
    514.80x = 370,685.81
  5. Step 5: Solve for x
    x = 370,685.81/514.80
  6. Step 6: Final answer
    x = 720.06

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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.