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Finding the Fourth Proportional to 483.90, 727.35 and 322.62

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Solution

The fourth proportional to 483.90, 727.35 and 322.62 is: 484.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.90 : 727.35 = 322.62 : x
  2. Step 2: Convert to fraction form
    483.90/727.35 = 322.62/x
  3. Step 3: Cross multiply
    483.90x = 727.35 × 322.62
  4. Step 4: Simplify right side
    483.90x = 234,657.66
  5. Step 5: Solve for x
    x = 234,657.66/483.90
  6. Step 6: Final answer
    x = 484.93

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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.