Home / 1,157.32-1,736.67-464.14

Finding the Fourth Proportional to 1,157.32, 1,736.67 and 464.14

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Solution

The fourth proportional to 1,157.32, 1,736.67 and 464.14 is: 696.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.32 : 1,736.67 = 464.14 : x
  2. Step 2: Convert to fraction form
    1,157.32/1,736.67 = 464.14/x
  3. Step 3: Cross multiply
    1,157.32x = 1,736.67 × 464.14
  4. Step 4: Simplify right side
    1,157.32x = 806,058.01
  5. Step 5: Solve for x
    x = 806,058.01/1,157.32
  6. Step 6: Final answer
    x = 696.49

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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.