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Finding the Fourth Proportional to 1,334.40, 1,840.91 and 836.70

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Solution

The fourth proportional to 1,334.40, 1,840.91 and 836.70 is: 1,154.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.40 : 1,840.91 = 836.70 : x
  2. Step 2: Convert to fraction form
    1,334.40/1,840.91 = 836.70/x
  3. Step 3: Cross multiply
    1,334.40x = 1,840.91 × 836.70
  4. Step 4: Simplify right side
    1,334.40x = 1,540,285.21
  5. Step 5: Solve for x
    x = 1,540,285.21/1,334.40
  6. Step 6: Final answer
    x = 1,154.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.