Home / 1,508.12-2,261.43-583.91

Finding the Fourth Proportional to 1,508.12, 2,261.43 and 583.91

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Solution

The fourth proportional to 1,508.12, 2,261.43 and 583.91 is: 875.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.12 : 2,261.43 = 583.91 : x
  2. Step 2: Convert to fraction form
    1,508.12/2,261.43 = 583.91/x
  3. Step 3: Cross multiply
    1,508.12x = 2,261.43 × 583.91
  4. Step 4: Simplify right side
    1,508.12x = 1,320,471.59
  5. Step 5: Solve for x
    x = 1,320,471.59/1,508.12
  6. Step 6: Final answer
    x = 875.57

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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.