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Finding the Fourth Proportional to 657.02, 984.71 and 382.55

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Solution

The fourth proportional to 657.02, 984.71 and 382.55 is: 573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.02 : 984.71 = 382.55 : x
  2. Step 2: Convert to fraction form
    657.02/984.71 = 382.55/x
  3. Step 3: Cross multiply
    657.02x = 984.71 × 382.55
  4. Step 4: Simplify right side
    657.02x = 376,693.97
  5. Step 5: Solve for x
    x = 376,693.97/657.02
  6. Step 6: Final answer
    x = 573.34

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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.