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Finding the Fourth Proportional to 2,537.00, 3,805.73 and 688.13

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Solution

The fourth proportional to 2,537.00, 3,805.73 and 688.13 is: 1,032.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.00 : 3,805.73 = 688.13 : x
  2. Step 2: Convert to fraction form
    2,537.00/3,805.73 = 688.13/x
  3. Step 3: Cross multiply
    2,537.00x = 3,805.73 × 688.13
  4. Step 4: Simplify right side
    2,537.00x = 2,618,814.52
  5. Step 5: Solve for x
    x = 2,618,814.52/2,537.00
  6. Step 6: Final answer
    x = 1,032.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.