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Finding the Fourth Proportional to 1,157.37, 1,736.74 and 427.46

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Solution

The fourth proportional to 1,157.37, 1,736.74 and 427.46 is: 641.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.37 : 1,736.74 = 427.46 : x
  2. Step 2: Convert to fraction form
    1,157.37/1,736.74 = 427.46/x
  3. Step 3: Cross multiply
    1,157.37x = 1,736.74 × 427.46
  4. Step 4: Simplify right side
    1,157.37x = 742,378.73
  5. Step 5: Solve for x
    x = 742,378.73/1,157.37
  6. Step 6: Final answer
    x = 641.44

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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.