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Finding the Fourth Proportional to 906.74, 1,359.06 and 418.77

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Solution

The fourth proportional to 906.74, 1,359.06 and 418.77 is: 627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.74 : 1,359.06 = 418.77 : x
  2. Step 2: Convert to fraction form
    906.74/1,359.06 = 418.77/x
  3. Step 3: Cross multiply
    906.74x = 1,359.06 × 418.77
  4. Step 4: Simplify right side
    906.74x = 569,133.56
  5. Step 5: Solve for x
    x = 569,133.56/906.74
  6. Step 6: Final answer
    x = 627.67

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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.