Home / 1,742.31-2,611.85-587.25

Finding the Fourth Proportional to 1,742.31, 2,611.85 and 587.25

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Solution

The fourth proportional to 1,742.31, 2,611.85 and 587.25 is: 880.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.31 : 2,611.85 = 587.25 : x
  2. Step 2: Convert to fraction form
    1,742.31/2,611.85 = 587.25/x
  3. Step 3: Cross multiply
    1,742.31x = 2,611.85 × 587.25
  4. Step 4: Simplify right side
    1,742.31x = 1,533,805.98
  5. Step 5: Solve for x
    x = 1,533,805.98/1,742.31
  6. Step 6: Final answer
    x = 880.33

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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.