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Finding the Fourth Proportional to 906.46, 1,357.83 and 418.03

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Solution

The fourth proportional to 906.46, 1,357.83 and 418.03 is: 626.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.46 : 1,357.83 = 418.03 : x
  2. Step 2: Convert to fraction form
    906.46/1,357.83 = 418.03/x
  3. Step 3: Cross multiply
    906.46x = 1,357.83 × 418.03
  4. Step 4: Simplify right side
    906.46x = 567,610.28
  5. Step 5: Solve for x
    x = 567,610.28/906.46
  6. Step 6: Final answer
    x = 626.19

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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.