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Finding the Fourth Proportional to 657.01, 984.22 and 382.52

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Solution

The fourth proportional to 657.01, 984.22 and 382.52 is: 573.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.01 : 984.22 = 382.52 : x
  2. Step 2: Convert to fraction form
    657.01/984.22 = 382.52/x
  3. Step 3: Cross multiply
    657.01x = 984.22 × 382.52
  4. Step 4: Simplify right side
    657.01x = 376,483.83
  5. Step 5: Solve for x
    x = 376,483.83/657.01
  6. Step 6: Final answer
    x = 573.03

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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.