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Finding the Fourth Proportional to 1,051, 1,574.68 and 639.27

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Solution

The fourth proportional to 1,051, 1,574.68 and 639.27 is: 957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051 : 1,574.68 = 639.27 : x
  2. Step 2: Convert to fraction form
    1,051/1,574.68 = 639.27/x
  3. Step 3: Cross multiply
    1,051x = 1,574.68 × 639.27
  4. Step 4: Simplify right side
    1,051x = 1,006,645.68
  5. Step 5: Solve for x
    x = 1,006,645.68/1,051
  6. Step 6: Final answer
    x = 957.80

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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.