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Finding the Fourth Proportional to 968.45, 1,450.38 and 737.06

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Solution

The fourth proportional to 968.45, 1,450.38 and 737.06 is: 1,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.45 : 1,450.38 = 737.06 : x
  2. Step 2: Convert to fraction form
    968.45/1,450.38 = 737.06/x
  3. Step 3: Cross multiply
    968.45x = 1,450.38 × 737.06
  4. Step 4: Simplify right side
    968.45x = 1,069,017.08
  5. Step 5: Solve for x
    x = 1,069,017.08/968.45
  6. Step 6: Final answer
    x = 1,103.84

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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.