Home / 1,507.13-2,261.87-685.43

Finding the Fourth Proportional to 1,507.13, 2,261.87 and 685.43

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Solution

The fourth proportional to 1,507.13, 2,261.87 and 685.43 is: 1,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.13 : 2,261.87 = 685.43 : x
  2. Step 2: Convert to fraction form
    1,507.13/2,261.87 = 685.43/x
  3. Step 3: Cross multiply
    1,507.13x = 2,261.87 × 685.43
  4. Step 4: Simplify right side
    1,507.13x = 1,550,353.55
  5. Step 5: Solve for x
    x = 1,550,353.55/1,507.13
  6. Step 6: Final answer
    x = 1,028.68

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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.