Home / 1,157.81-1,736.79-427.43

Finding the Fourth Proportional to 1,157.81, 1,736.79 and 427.43

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Solution

The fourth proportional to 1,157.81, 1,736.79 and 427.43 is: 641.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.81 : 1,736.79 = 427.43 : x
  2. Step 2: Convert to fraction form
    1,157.81/1,736.79 = 427.43/x
  3. Step 3: Cross multiply
    1,157.81x = 1,736.79 × 427.43
  4. Step 4: Simplify right side
    1,157.81x = 742,354.01
  5. Step 5: Solve for x
    x = 742,354.01/1,157.81
  6. Step 6: Final answer
    x = 641.17

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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.