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Finding the Fourth Proportional to 996.90, 1,486.92 and 928.86

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Solution

The fourth proportional to 996.90, 1,486.92 and 928.86 is: 1,385.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.90 : 1,486.92 = 928.86 : x
  2. Step 2: Convert to fraction form
    996.90/1,486.92 = 928.86/x
  3. Step 3: Cross multiply
    996.90x = 1,486.92 × 928.86
  4. Step 4: Simplify right side
    996.90x = 1,381,140.51
  5. Step 5: Solve for x
    x = 1,381,140.51/996.90
  6. Step 6: Final answer
    x = 1,385.44

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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.