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Finding the Fourth Proportional to 905.95, 1,356.76 and 558.33

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Solution

The fourth proportional to 905.95, 1,356.76 and 558.33 is: 836.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.95 : 1,356.76 = 558.33 : x
  2. Step 2: Convert to fraction form
    905.95/1,356.76 = 558.33/x
  3. Step 3: Cross multiply
    905.95x = 1,356.76 × 558.33
  4. Step 4: Simplify right side
    905.95x = 757,519.81
  5. Step 5: Solve for x
    x = 757,519.81/905.95
  6. Step 6: Final answer
    x = 836.16

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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.