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Finding the Fourth Proportional to 1,300.76, 1,950.64 and 422.96

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Solution

The fourth proportional to 1,300.76, 1,950.64 and 422.96 is: 634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.76 : 1,950.64 = 422.96 : x
  2. Step 2: Convert to fraction form
    1,300.76/1,950.64 = 422.96/x
  3. Step 3: Cross multiply
    1,300.76x = 1,950.64 × 422.96
  4. Step 4: Simplify right side
    1,300.76x = 825,042.69
  5. Step 5: Solve for x
    x = 825,042.69/1,300.76
  6. Step 6: Final answer
    x = 634.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.