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Finding the Fourth Proportional to 1,630.94, 2,446.61 and 937.98

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Solution

The fourth proportional to 1,630.94, 2,446.61 and 937.98 is: 1,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630.94 : 2,446.61 = 937.98 : x
  2. Step 2: Convert to fraction form
    1,630.94/2,446.61 = 937.98/x
  3. Step 3: Cross multiply
    1,630.94x = 2,446.61 × 937.98
  4. Step 4: Simplify right side
    1,630.94x = 2,294,866.56
  5. Step 5: Solve for x
    x = 2,294,866.56/1,630.94
  6. Step 6: Final answer
    x = 1,407.09

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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.