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Finding the Fourth Proportional to 910, 1,255.35 and 573.75

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Solution

The fourth proportional to 910, 1,255.35 and 573.75 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    910 : 1,255.35 = 573.75 : x
  2. Step 2: Convert to fraction form
    910/1,255.35 = 573.75/x
  3. Step 3: Cross multiply
    910x = 1,255.35 × 573.75
  4. Step 4: Simplify right side
    910x = 720,257.06
  5. Step 5: Solve for x
    x = 720,257.06/910
  6. Step 6: Final answer
    x = 791.49

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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.