Home / 1,537.24-2,306.22-563.56

Finding the Fourth Proportional to 1,537.24, 2,306.22 and 563.56

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Solution

The fourth proportional to 1,537.24, 2,306.22 and 563.56 is: 845.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.24 : 2,306.22 = 563.56 : x
  2. Step 2: Convert to fraction form
    1,537.24/2,306.22 = 563.56/x
  3. Step 3: Cross multiply
    1,537.24x = 2,306.22 × 563.56
  4. Step 4: Simplify right side
    1,537.24x = 1,299,693.34
  5. Step 5: Solve for x
    x = 1,299,693.34/1,537.24
  6. Step 6: Final answer
    x = 845.47

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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.