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Finding the Fourth Proportional to 1,157.64, 1,736.86 and 724.28

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Solution

The fourth proportional to 1,157.64, 1,736.86 and 724.28 is: 1,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.64 : 1,736.86 = 724.28 : x
  2. Step 2: Convert to fraction form
    1,157.64/1,736.86 = 724.28/x
  3. Step 3: Cross multiply
    1,157.64x = 1,736.86 × 724.28
  4. Step 4: Simplify right side
    1,157.64x = 1,257,972.96
  5. Step 5: Solve for x
    x = 1,257,972.96/1,157.64
  6. Step 6: Final answer
    x = 1,086.67

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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.