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Finding the Fourth Proportional to 906.87, 1,360.44 and 419.97

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Solution

The fourth proportional to 906.87, 1,360.44 and 419.97 is: 630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.87 : 1,360.44 = 419.97 : x
  2. Step 2: Convert to fraction form
    906.87/1,360.44 = 419.97/x
  3. Step 3: Cross multiply
    906.87x = 1,360.44 × 419.97
  4. Step 4: Simplify right side
    906.87x = 571,343.99
  5. Step 5: Solve for x
    x = 571,343.99/906.87
  6. Step 6: Final answer
    x = 630.02

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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.