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Finding the Fourth Proportional to 905.23, 1,248.99 and 573.53

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Solution

The fourth proportional to 905.23, 1,248.99 and 573.53 is: 791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.23 : 1,248.99 = 573.53 : x
  2. Step 2: Convert to fraction form
    905.23/1,248.99 = 573.53/x
  3. Step 3: Cross multiply
    905.23x = 1,248.99 × 573.53
  4. Step 4: Simplify right side
    905.23x = 716,331.86
  5. Step 5: Solve for x
    x = 716,331.86/905.23
  6. Step 6: Final answer
    x = 791.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.