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Finding the Fourth Proportional to 1,745.61, 2,615.17 and 867.05

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Solution

The fourth proportional to 1,745.61, 2,615.17 and 867.05 is: 1,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.61 : 2,615.17 = 867.05 : x
  2. Step 2: Convert to fraction form
    1,745.61/2,615.17 = 867.05/x
  3. Step 3: Cross multiply
    1,745.61x = 2,615.17 × 867.05
  4. Step 4: Simplify right side
    1,745.61x = 2,267,497.71
  5. Step 5: Solve for x
    x = 2,267,497.71/1,745.61
  6. Step 6: Final answer
    x = 1,298.97

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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.