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Finding the Fourth Proportional to 648.09, 900.58 and 641.43

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Solution

The fourth proportional to 648.09, 900.58 and 641.43 is: 891.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 900.58 = 641.43 : x
  2. Step 2: Convert to fraction form
    648.09/900.58 = 641.43/x
  3. Step 3: Cross multiply
    648.09x = 900.58 × 641.43
  4. Step 4: Simplify right side
    648.09x = 577,657.43
  5. Step 5: Solve for x
    x = 577,657.43/648.09
  6. Step 6: Final answer
    x = 891.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.