Home / 1,523.11-2,285.05-427.47

Finding the Fourth Proportional to 1,523.11, 2,285.05 and 427.47

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Solution

The fourth proportional to 1,523.11, 2,285.05 and 427.47 is: 641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.11 : 2,285.05 = 427.47 : x
  2. Step 2: Convert to fraction form
    1,523.11/2,285.05 = 427.47/x
  3. Step 3: Cross multiply
    1,523.11x = 2,285.05 × 427.47
  4. Step 4: Simplify right side
    1,523.11x = 976,790.32
  5. Step 5: Solve for x
    x = 976,790.32/1,523.11
  6. Step 6: Final answer
    x = 641.31

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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.