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Finding the Fourth Proportional to 905.40, 1,357.74 and 418.32

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Solution

The fourth proportional to 905.40, 1,357.74 and 418.32 is: 627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.40 : 1,357.74 = 418.32 : x
  2. Step 2: Convert to fraction form
    905.40/1,357.74 = 418.32/x
  3. Step 3: Cross multiply
    905.40x = 1,357.74 × 418.32
  4. Step 4: Simplify right side
    905.40x = 567,969.80
  5. Step 5: Solve for x
    x = 567,969.80/905.40
  6. Step 6: Final answer
    x = 627.31

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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.