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Finding the Fourth Proportional to 998.63, 1,488.02 and 889.58

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Solution

The fourth proportional to 998.63, 1,488.02 and 889.58 is: 1,325.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.63 : 1,488.02 = 889.58 : x
  2. Step 2: Convert to fraction form
    998.63/1,488.02 = 889.58/x
  3. Step 3: Cross multiply
    998.63x = 1,488.02 × 889.58
  4. Step 4: Simplify right side
    998.63x = 1,323,700.94
  5. Step 5: Solve for x
    x = 1,323,700.94/998.63
  6. Step 6: Final answer
    x = 1,325.52

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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.