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Finding the Fourth Proportional to 1,745.32, 2,618.36 and 575.27

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Solution

The fourth proportional to 1,745.32, 2,618.36 and 575.27 is: 863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.32 : 2,618.36 = 575.27 : x
  2. Step 2: Convert to fraction form
    1,745.32/2,618.36 = 575.27/x
  3. Step 3: Cross multiply
    1,745.32x = 2,618.36 × 575.27
  4. Step 4: Simplify right side
    1,745.32x = 1,506,261.08
  5. Step 5: Solve for x
    x = 1,506,261.08/1,745.32
  6. Step 6: Final answer
    x = 863.03

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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.