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Finding the Fourth Proportional to 905.16, 1,355.55 and 441.81

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Solution

The fourth proportional to 905.16, 1,355.55 and 441.81 is: 661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.16 : 1,355.55 = 441.81 : x
  2. Step 2: Convert to fraction form
    905.16/1,355.55 = 441.81/x
  3. Step 3: Cross multiply
    905.16x = 1,355.55 × 441.81
  4. Step 4: Simplify right side
    905.16x = 598,895.55
  5. Step 5: Solve for x
    x = 598,895.55/905.16
  6. Step 6: Final answer
    x = 661.65

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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.