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Finding the Fourth Proportional to 906.35, 1,359.54 and 419.09

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Solution

The fourth proportional to 906.35, 1,359.54 and 419.09 is: 628.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.35 : 1,359.54 = 419.09 : x
  2. Step 2: Convert to fraction form
    906.35/1,359.54 = 419.09/x
  3. Step 3: Cross multiply
    906.35x = 1,359.54 × 419.09
  4. Step 4: Simplify right side
    906.35x = 569,762.82
  5. Step 5: Solve for x
    x = 569,762.82/906.35
  6. Step 6: Final answer
    x = 628.64

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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.