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Finding the Fourth Proportional to 996.30, 1,492.47 and 778.86

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Solution

The fourth proportional to 996.30, 1,492.47 and 778.86 is: 1,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.30 : 1,492.47 = 778.86 : x
  2. Step 2: Convert to fraction form
    996.30/1,492.47 = 778.86/x
  3. Step 3: Cross multiply
    996.30x = 1,492.47 × 778.86
  4. Step 4: Simplify right side
    996.30x = 1,162,425.18
  5. Step 5: Solve for x
    x = 1,162,425.18/996.30
  6. Step 6: Final answer
    x = 1,166.74

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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.