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Finding the Fourth Proportional to 906.35, 1,359.18 and 419.06

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Solution

The fourth proportional to 906.35, 1,359.18 and 419.06 is: 628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.35 : 1,359.18 = 419.06 : x
  2. Step 2: Convert to fraction form
    906.35/1,359.18 = 419.06/x
  3. Step 3: Cross multiply
    906.35x = 1,359.18 × 419.06
  4. Step 4: Simplify right side
    906.35x = 569,581.37
  5. Step 5: Solve for x
    x = 569,581.37/906.35
  6. Step 6: Final answer
    x = 628.44

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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.