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Finding the Fourth Proportional to 906.15, 1,358.70 and 418.59

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Solution

The fourth proportional to 906.15, 1,358.70 and 418.59 is: 627.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.15 : 1,358.70 = 418.59 : x
  2. Step 2: Convert to fraction form
    906.15/1,358.70 = 418.59/x
  3. Step 3: Cross multiply
    906.15x = 1,358.70 × 418.59
  4. Step 4: Simplify right side
    906.15x = 568,738.23
  5. Step 5: Solve for x
    x = 568,738.23/906.15
  6. Step 6: Final answer
    x = 627.64

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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.