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Finding the Fourth Proportional to 482.84, 724.24 and 320.84

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Solution

The fourth proportional to 482.84, 724.24 and 320.84 is: 481.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.84 : 724.24 = 320.84 : x
  2. Step 2: Convert to fraction form
    482.84/724.24 = 320.84/x
  3. Step 3: Cross multiply
    482.84x = 724.24 × 320.84
  4. Step 4: Simplify right side
    482.84x = 232,365.16
  5. Step 5: Solve for x
    x = 232,365.16/482.84
  6. Step 6: Final answer
    x = 481.25

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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.