Home / 1,507.56-2,261.31-412.03

Finding the Fourth Proportional to 1,507.56, 2,261.31 and 412.03

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Solution

The fourth proportional to 1,507.56, 2,261.31 and 412.03 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.56 : 2,261.31 = 412.03 : x
  2. Step 2: Convert to fraction form
    1,507.56/2,261.31 = 412.03/x
  3. Step 3: Cross multiply
    1,507.56x = 2,261.31 × 412.03
  4. Step 4: Simplify right side
    1,507.56x = 931,727.56
  5. Step 5: Solve for x
    x = 931,727.56/1,507.56
  6. Step 6: Final answer
    x = 618.04

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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.