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Finding the Fourth Proportional to 1,932.70, 2,899.49 and 634.09

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Solution

The fourth proportional to 1,932.70, 2,899.49 and 634.09 is: 951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.70 : 2,899.49 = 634.09 : x
  2. Step 2: Convert to fraction form
    1,932.70/2,899.49 = 634.09/x
  3. Step 3: Cross multiply
    1,932.70x = 2,899.49 × 634.09
  4. Step 4: Simplify right side
    1,932.70x = 1,838,537.61
  5. Step 5: Solve for x
    x = 1,838,537.61/1,932.70
  6. Step 6: Final answer
    x = 951.28

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1.5x scale

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.