Home / 1,505.64-2,257.96-581.16

Finding the Fourth Proportional to 1,505.64, 2,257.96 and 581.16

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Solution

The fourth proportional to 1,505.64, 2,257.96 and 581.16 is: 871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.64 : 2,257.96 = 581.16 : x
  2. Step 2: Convert to fraction form
    1,505.64/2,257.96 = 581.16/x
  3. Step 3: Cross multiply
    1,505.64x = 2,257.96 × 581.16
  4. Step 4: Simplify right side
    1,505.64x = 1,312,236.03
  5. Step 5: Solve for x
    x = 1,312,236.03/1,505.64
  6. Step 6: Final answer
    x = 871.55

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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.