Home / 1,157.95-1,736.91-427.51

Finding the Fourth Proportional to 1,157.95, 1,736.91 and 427.51

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Solution

The fourth proportional to 1,157.95, 1,736.91 and 427.51 is: 641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.95 : 1,736.91 = 427.51 : x
  2. Step 2: Convert to fraction form
    1,157.95/1,736.91 = 427.51/x
  3. Step 3: Cross multiply
    1,157.95x = 1,736.91 × 427.51
  4. Step 4: Simplify right side
    1,157.95x = 742,546.39
  5. Step 5: Solve for x
    x = 742,546.39/1,157.95
  6. Step 6: Final answer
    x = 641.26

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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.