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Finding the Fourth Proportional to 1,165.21, 1,745.08 and 836.55

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Solution

The fourth proportional to 1,165.21, 1,745.08 and 836.55 is: 1,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.21 : 1,745.08 = 836.55 : x
  2. Step 2: Convert to fraction form
    1,165.21/1,745.08 = 836.55/x
  3. Step 3: Cross multiply
    1,165.21x = 1,745.08 × 836.55
  4. Step 4: Simplify right side
    1,165.21x = 1,459,844.58
  5. Step 5: Solve for x
    x = 1,459,844.58/1,165.21
  6. Step 6: Final answer
    x = 1,252.86

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1.5x scale

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.