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Finding the Fourth Proportional to 484.60, 725.10 and 322.60

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Solution

The fourth proportional to 484.60, 725.10 and 322.60 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.60 : 725.10 = 322.60 : x
  2. Step 2: Convert to fraction form
    484.60/725.10 = 322.60/x
  3. Step 3: Cross multiply
    484.60x = 725.10 × 322.60
  4. Step 4: Simplify right side
    484.60x = 233,917.26
  5. Step 5: Solve for x
    x = 233,917.26/484.60
  6. Step 6: Final answer
    x = 482.70

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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.