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Finding the Fourth Proportional to 905.74, 1,359.30 and 418.84

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Solution

The fourth proportional to 905.74, 1,359.30 and 418.84 is: 628.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.74 : 1,359.30 = 418.84 : x
  2. Step 2: Convert to fraction form
    905.74/1,359.30 = 418.84/x
  3. Step 3: Cross multiply
    905.74x = 1,359.30 × 418.84
  4. Step 4: Simplify right side
    905.74x = 569,329.21
  5. Step 5: Solve for x
    x = 569,329.21/905.74
  6. Step 6: Final answer
    x = 628.58

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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.