Home / 1,537.14-2,306.06-563.24

Finding the Fourth Proportional to 1,537.14, 2,306.06 and 563.24

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Solution

The fourth proportional to 1,537.14, 2,306.06 and 563.24 is: 844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,537.14 : 2,306.06 = 563.24 : x
  2. Step 2: Convert to fraction form
    1,537.14/2,306.06 = 563.24/x
  3. Step 3: Cross multiply
    1,537.14x = 2,306.06 × 563.24
  4. Step 4: Simplify right side
    1,537.14x = 1,298,865.23
  5. Step 5: Solve for x
    x = 1,298,865.23/1,537.14
  6. Step 6: Final answer
    x = 844.99

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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.