Home / 1,508.13-2,261.43-583.92

Finding the Fourth Proportional to 1,508.13, 2,261.43 and 583.92

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Solution

The fourth proportional to 1,508.13, 2,261.43 and 583.92 is: 875.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.13 : 2,261.43 = 583.92 : x
  2. Step 2: Convert to fraction form
    1,508.13/2,261.43 = 583.92/x
  3. Step 3: Cross multiply
    1,508.13x = 2,261.43 × 583.92
  4. Step 4: Simplify right side
    1,508.13x = 1,320,494.21
  5. Step 5: Solve for x
    x = 1,320,494.21/1,508.13
  6. Step 6: Final answer
    x = 875.58

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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.