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Finding the Fourth Proportional to 998.83, 1,488.21 and 942.94

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Solution

The fourth proportional to 998.83, 1,488.21 and 942.94 is: 1,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.83 : 1,488.21 = 942.94 : x
  2. Step 2: Convert to fraction form
    998.83/1,488.21 = 942.94/x
  3. Step 3: Cross multiply
    998.83x = 1,488.21 × 942.94
  4. Step 4: Simplify right side
    998.83x = 1,403,285.48
  5. Step 5: Solve for x
    x = 1,403,285.48/998.83
  6. Step 6: Final answer
    x = 1,404.93

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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.