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Finding the Fourth Proportional to 571.75, 792.61 and 540.57

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Solution

The fourth proportional to 571.75, 792.61 and 540.57 is: 749.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.75 : 792.61 = 540.57 : x
  2. Step 2: Convert to fraction form
    571.75/792.61 = 540.57/x
  3. Step 3: Cross multiply
    571.75x = 792.61 × 540.57
  4. Step 4: Simplify right side
    571.75x = 428,461.19
  5. Step 5: Solve for x
    x = 428,461.19/571.75
  6. Step 6: Final answer
    x = 749.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.