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Finding the Fourth Proportional to 571.77, 788.44 and 489.15

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Solution

The fourth proportional to 571.77, 788.44 and 489.15 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 788.44 = 489.15 : x
  2. Step 2: Convert to fraction form
    571.77/788.44 = 489.15/x
  3. Step 3: Cross multiply
    571.77x = 788.44 × 489.15
  4. Step 4: Simplify right side
    571.77x = 385,665.43
  5. Step 5: Solve for x
    x = 385,665.43/571.77
  6. Step 6: Final answer
    x = 674.51

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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.