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Finding the Fourth Proportional to 905.33, 1,357.99 and 559.66

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Solution

The fourth proportional to 905.33, 1,357.99 and 559.66 is: 839.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.33 : 1,357.99 = 559.66 : x
  2. Step 2: Convert to fraction form
    905.33/1,357.99 = 559.66/x
  3. Step 3: Cross multiply
    905.33x = 1,357.99 × 559.66
  4. Step 4: Simplify right side
    905.33x = 760,012.01
  5. Step 5: Solve for x
    x = 760,012.01/905.33
  6. Step 6: Final answer
    x = 839.49

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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.