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Finding the Fourth Proportional to 968.45, 1,450.65 and 724.64

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Solution

The fourth proportional to 968.45, 1,450.65 and 724.64 is: 1,085.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.45 : 1,450.65 = 724.64 : x
  2. Step 2: Convert to fraction form
    968.45/1,450.65 = 724.64/x
  3. Step 3: Cross multiply
    968.45x = 1,450.65 × 724.64
  4. Step 4: Simplify right side
    968.45x = 1,051,199.02
  5. Step 5: Solve for x
    x = 1,051,199.02/968.45
  6. Step 6: Final answer
    x = 1,085.44

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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.