Home / 1,977.20-2,965.95-590.43

Finding the Fourth Proportional to 1,977.20, 2,965.95 and 590.43

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Solution

The fourth proportional to 1,977.20, 2,965.95 and 590.43 is: 885.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.20 : 2,965.95 = 590.43 : x
  2. Step 2: Convert to fraction form
    1,977.20/2,965.95 = 590.43/x
  3. Step 3: Cross multiply
    1,977.20x = 2,965.95 × 590.43
  4. Step 4: Simplify right side
    1,977.20x = 1,751,185.86
  5. Step 5: Solve for x
    x = 1,751,185.86/1,977.20
  6. Step 6: Final answer
    x = 885.69

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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.