Home / 1,587.08-2,380.38-765.14

Finding the Fourth Proportional to 1,587.08, 2,380.38 and 765.14

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Solution

The fourth proportional to 1,587.08, 2,380.38 and 765.14 is: 1,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,587.08 : 2,380.38 = 765.14 : x
  2. Step 2: Convert to fraction form
    1,587.08/2,380.38 = 765.14/x
  3. Step 3: Cross multiply
    1,587.08x = 2,380.38 × 765.14
  4. Step 4: Simplify right side
    1,587.08x = 1,821,323.95
  5. Step 5: Solve for x
    x = 1,821,323.95/1,587.08
  6. Step 6: Final answer
    x = 1,147.59

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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.