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Finding the Fourth Proportional to 998.47, 1,489.90 and 894.70

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Solution

The fourth proportional to 998.47, 1,489.90 and 894.70 is: 1,335.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.47 : 1,489.90 = 894.70 : x
  2. Step 2: Convert to fraction form
    998.47/1,489.90 = 894.70/x
  3. Step 3: Cross multiply
    998.47x = 1,489.90 × 894.70
  4. Step 4: Simplify right side
    998.47x = 1,333,009.06
  5. Step 5: Solve for x
    x = 1,333,009.06/998.47
  6. Step 6: Final answer
    x = 1,335.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.