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Finding the Fourth Proportional to 905.84, 1,356.60 and 494.36

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Solution

The fourth proportional to 905.84, 1,356.60 and 494.36 is: 740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.84 : 1,356.60 = 494.36 : x
  2. Step 2: Convert to fraction form
    905.84/1,356.60 = 494.36/x
  3. Step 3: Cross multiply
    905.84x = 1,356.60 × 494.36
  4. Step 4: Simplify right side
    905.84x = 670,648.78
  5. Step 5: Solve for x
    x = 670,648.78/905.84
  6. Step 6: Final answer
    x = 740.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.