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Finding the Fourth Proportional to 1,950.14, 2,925.09 and 633.87

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Solution

The fourth proportional to 1,950.14, 2,925.09 and 633.87 is: 950.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,950.14 : 2,925.09 = 633.87 : x
  2. Step 2: Convert to fraction form
    1,950.14/2,925.09 = 633.87/x
  3. Step 3: Cross multiply
    1,950.14x = 2,925.09 × 633.87
  4. Step 4: Simplify right side
    1,950.14x = 1,854,126.80
  5. Step 5: Solve for x
    x = 1,854,126.80/1,950.14
  6. Step 6: Final answer
    x = 950.77

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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.