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Finding the Fourth Proportional to 1,213.70, 1,676.08 and 841.64

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Solution

The fourth proportional to 1,213.70, 1,676.08 and 841.64 is: 1,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.70 : 1,676.08 = 841.64 : x
  2. Step 2: Convert to fraction form
    1,213.70/1,676.08 = 841.64/x
  3. Step 3: Cross multiply
    1,213.70x = 1,676.08 × 841.64
  4. Step 4: Simplify right side
    1,213.70x = 1,410,655.97
  5. Step 5: Solve for x
    x = 1,410,655.97/1,213.70
  6. Step 6: Final answer
    x = 1,162.28

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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.