Home / 1,523.19-2,284.77-427.55

Finding the Fourth Proportional to 1,523.19, 2,284.77 and 427.55

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Solution

The fourth proportional to 1,523.19, 2,284.77 and 427.55 is: 641.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.19 : 2,284.77 = 427.55 : x
  2. Step 2: Convert to fraction form
    1,523.19/2,284.77 = 427.55/x
  3. Step 3: Cross multiply
    1,523.19x = 2,284.77 × 427.55
  4. Step 4: Simplify right side
    1,523.19x = 976,856.27
  5. Step 5: Solve for x
    x = 976,856.27/1,523.19
  6. Step 6: Final answer
    x = 641.32

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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.