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Finding the Fourth Proportional to 998.24, 1,376.64 and 648.80

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Solution

The fourth proportional to 998.24, 1,376.64 and 648.80 is: 894.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.24 : 1,376.64 = 648.80 : x
  2. Step 2: Convert to fraction form
    998.24/1,376.64 = 648.80/x
  3. Step 3: Cross multiply
    998.24x = 1,376.64 × 648.80
  4. Step 4: Simplify right side
    998.24x = 893,164.03
  5. Step 5: Solve for x
    x = 893,164.03/998.24
  6. Step 6: Final answer
    x = 894.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.