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Finding the Fourth Proportional to 906.28, 1,359.63 and 290.05

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Solution

The fourth proportional to 906.28, 1,359.63 and 290.05 is: 435.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.28 : 1,359.63 = 290.05 : x
  2. Step 2: Convert to fraction form
    906.28/1,359.63 = 290.05/x
  3. Step 3: Cross multiply
    906.28x = 1,359.63 × 290.05
  4. Step 4: Simplify right side
    906.28x = 394,357.28
  5. Step 5: Solve for x
    x = 394,357.28/906.28
  6. Step 6: Final answer
    x = 435.14

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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.