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Finding the Fourth Proportional to 997.11, 1,372.95 and 846.45

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Solution

The fourth proportional to 997.11, 1,372.95 and 846.45 is: 1,165.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.11 : 1,372.95 = 846.45 : x
  2. Step 2: Convert to fraction form
    997.11/1,372.95 = 846.45/x
  3. Step 3: Cross multiply
    997.11x = 1,372.95 × 846.45
  4. Step 4: Simplify right side
    997.11x = 1,162,133.53
  5. Step 5: Solve for x
    x = 1,162,133.53/997.11
  6. Step 6: Final answer
    x = 1,165.50

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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.