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Finding the Fourth Proportional to 997.83, 1,378.35 and 904.68

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Solution

The fourth proportional to 997.83, 1,378.35 and 904.68 is: 1,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.83 : 1,378.35 = 904.68 : x
  2. Step 2: Convert to fraction form
    997.83/1,378.35 = 904.68/x
  3. Step 3: Cross multiply
    997.83x = 1,378.35 × 904.68
  4. Step 4: Simplify right side
    997.83x = 1,246,965.68
  5. Step 5: Solve for x
    x = 1,246,965.68/997.83
  6. Step 6: Final answer
    x = 1,249.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.