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Finding the Fourth Proportional to 998.60, 1,495.57 and 963.99

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Solution

The fourth proportional to 998.60, 1,495.57 and 963.99 is: 1,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.60 : 1,495.57 = 963.99 : x
  2. Step 2: Convert to fraction form
    998.60/1,495.57 = 963.99/x
  3. Step 3: Cross multiply
    998.60x = 1,495.57 × 963.99
  4. Step 4: Simplify right side
    998.60x = 1,441,714.52
  5. Step 5: Solve for x
    x = 1,441,714.52/998.60
  6. Step 6: Final answer
    x = 1,443.74

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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.