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Finding the Fourth Proportional to 998.30, 1,495.46 and 780.86

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Solution

The fourth proportional to 998.30, 1,495.46 and 780.86 is: 1,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.30 : 1,495.46 = 780.86 : x
  2. Step 2: Convert to fraction form
    998.30/1,495.46 = 780.86/x
  3. Step 3: Cross multiply
    998.30x = 1,495.46 × 780.86
  4. Step 4: Simplify right side
    998.30x = 1,167,744.90
  5. Step 5: Solve for x
    x = 1,167,744.90/998.30
  6. Step 6: Final answer
    x = 1,169.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.