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Finding the Fourth Proportional to 1,630.70, 2,250 and 932.06

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Solution

The fourth proportional to 1,630.70, 2,250 and 932.06 is: 1,286.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.70 : 2,250 = 932.06 : x
  2. Step 2: Convert to fraction form
    1,630.70/2,250 = 932.06/x
  3. Step 3: Cross multiply
    1,630.70x = 2,250 × 932.06
  4. Step 4: Simplify right side
    1,630.70x = 2,097,135.00
  5. Step 5: Solve for x
    x = 2,097,135.00/1,630.70
  6. Step 6: Final answer
    x = 1,286.03

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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.