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Finding the Fourth Proportional to 1,735.61, 2,603.47 and 681.38

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Solution

The fourth proportional to 1,735.61, 2,603.47 and 681.38 is: 1,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.61 : 2,603.47 = 681.38 : x
  2. Step 2: Convert to fraction form
    1,735.61/2,603.47 = 681.38/x
  3. Step 3: Cross multiply
    1,735.61x = 2,603.47 × 681.38
  4. Step 4: Simplify right side
    1,735.61x = 1,773,958.90
  5. Step 5: Solve for x
    x = 1,773,958.90/1,735.61
  6. Step 6: Final answer
    x = 1,022.09

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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.