Home / 1,507.43-2,261.24-685.77

Finding the Fourth Proportional to 1,507.43, 2,261.24 and 685.77

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Solution

The fourth proportional to 1,507.43, 2,261.24 and 685.77 is: 1,028.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,507.43 : 2,261.24 = 685.77 : x
  2. Step 2: Convert to fraction form
    1,507.43/2,261.24 = 685.77/x
  3. Step 3: Cross multiply
    1,507.43x = 2,261.24 × 685.77
  4. Step 4: Simplify right side
    1,507.43x = 1,550,690.55
  5. Step 5: Solve for x
    x = 1,550,690.55/1,507.43
  6. Step 6: Final answer
    x = 1,028.70

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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.