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Finding the Fourth Proportional to 480.62, 725.26 and 463.46

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Solution

The fourth proportional to 480.62, 725.26 and 463.46 is: 699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.62 : 725.26 = 463.46 : x
  2. Step 2: Convert to fraction form
    480.62/725.26 = 463.46/x
  3. Step 3: Cross multiply
    480.62x = 725.26 × 463.46
  4. Step 4: Simplify right side
    480.62x = 336,129.00
  5. Step 5: Solve for x
    x = 336,129.00/480.62
  6. Step 6: Final answer
    x = 699.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.