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Finding the Fourth Proportional to 657.45, 990.71 and 544.44

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Solution

The fourth proportional to 657.45, 990.71 and 544.44 is: 820.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.45 : 990.71 = 544.44 : x
  2. Step 2: Convert to fraction form
    657.45/990.71 = 544.44/x
  3. Step 3: Cross multiply
    657.45x = 990.71 × 544.44
  4. Step 4: Simplify right side
    657.45x = 539,385.19
  5. Step 5: Solve for x
    x = 539,385.19/657.45
  6. Step 6: Final answer
    x = 820.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.