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Finding the Fourth Proportional to 1,828.64, 2,742.26 and 658.46

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Solution

The fourth proportional to 1,828.64, 2,742.26 and 658.46 is: 987.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.64 : 2,742.26 = 658.46 : x
  2. Step 2: Convert to fraction form
    1,828.64/2,742.26 = 658.46/x
  3. Step 3: Cross multiply
    1,828.64x = 2,742.26 × 658.46
  4. Step 4: Simplify right side
    1,828.64x = 1,805,672.08
  5. Step 5: Solve for x
    x = 1,805,672.08/1,828.64
  6. Step 6: Final answer
    x = 987.44

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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.