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Finding the Fourth Proportional to 571.57, 788.77 and 347.44

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Solution

The fourth proportional to 571.57, 788.77 and 347.44 is: 479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.57 : 788.77 = 347.44 : x
  2. Step 2: Convert to fraction form
    571.57/788.77 = 347.44/x
  3. Step 3: Cross multiply
    571.57x = 788.77 × 347.44
  4. Step 4: Simplify right side
    571.57x = 274,050.25
  5. Step 5: Solve for x
    x = 274,050.25/571.57
  6. Step 6: Final answer
    x = 479.47

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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.