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Finding the Fourth Proportional to 1,333.88, 1,840.70 and 836.79

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Solution

The fourth proportional to 1,333.88, 1,840.70 and 836.79 is: 1,154.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,333.88 : 1,840.70 = 836.79 : x
  2. Step 2: Convert to fraction form
    1,333.88/1,840.70 = 836.79/x
  3. Step 3: Cross multiply
    1,333.88x = 1,840.70 × 836.79
  4. Step 4: Simplify right side
    1,333.88x = 1,540,285.13
  5. Step 5: Solve for x
    x = 1,540,285.13/1,333.88
  6. Step 6: Final answer
    x = 1,154.74

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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.