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Finding the Fourth Proportional to 1,458.22, 2,187.67 and 418.24

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Solution

The fourth proportional to 1,458.22, 2,187.67 and 418.24 is: 627.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.22 : 2,187.67 = 418.24 : x
  2. Step 2: Convert to fraction form
    1,458.22/2,187.67 = 418.24/x
  3. Step 3: Cross multiply
    1,458.22x = 2,187.67 × 418.24
  4. Step 4: Simplify right side
    1,458.22x = 914,958.07
  5. Step 5: Solve for x
    x = 914,958.07/1,458.22
  6. Step 6: Final answer
    x = 627.45

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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.