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Finding the Fourth Proportional to 1,438.06, 2,157.03 and 412.06

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Solution

The fourth proportional to 1,438.06, 2,157.03 and 412.06 is: 618.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.06 : 2,157.03 = 412.06 : x
  2. Step 2: Convert to fraction form
    1,438.06/2,157.03 = 412.06/x
  3. Step 3: Cross multiply
    1,438.06x = 2,157.03 × 412.06
  4. Step 4: Simplify right side
    1,438.06x = 888,825.78
  5. Step 5: Solve for x
    x = 888,825.78/1,438.06
  6. Step 6: Final answer
    x = 618.07

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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.