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Finding the Fourth Proportional to 1,458.03, 2,187.05 and 418.05

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Solution

The fourth proportional to 1,458.03, 2,187.05 and 418.05 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.03 : 2,187.05 = 418.05 : x
  2. Step 2: Convert to fraction form
    1,458.03/2,187.05 = 418.05/x
  3. Step 3: Cross multiply
    1,458.03x = 2,187.05 × 418.05
  4. Step 4: Simplify right side
    1,458.03x = 914,296.25
  5. Step 5: Solve for x
    x = 914,296.25/1,458.03
  6. Step 6: Final answer
    x = 627.08

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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.