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Finding the Fourth Proportional to 1,157.66, 1,736.98 and 427.07

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Solution

The fourth proportional to 1,157.66, 1,736.98 and 427.07 is: 640.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.66 : 1,736.98 = 427.07 : x
  2. Step 2: Convert to fraction form
    1,157.66/1,736.98 = 427.07/x
  3. Step 3: Cross multiply
    1,157.66x = 1,736.98 × 427.07
  4. Step 4: Simplify right side
    1,157.66x = 741,815.32
  5. Step 5: Solve for x
    x = 741,815.32/1,157.66
  6. Step 6: Final answer
    x = 640.79

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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.