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Finding the Fourth Proportional to 1,055.87, 1,584.21 and 639.41

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Solution

The fourth proportional to 1,055.87, 1,584.21 and 639.41 is: 959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.87 : 1,584.21 = 639.41 : x
  2. Step 2: Convert to fraction form
    1,055.87/1,584.21 = 639.41/x
  3. Step 3: Cross multiply
    1,055.87x = 1,584.21 × 639.41
  4. Step 4: Simplify right side
    1,055.87x = 1,012,954.19
  5. Step 5: Solve for x
    x = 1,012,954.19/1,055.87
  6. Step 6: Final answer
    x = 959.36

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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.