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Finding the Fourth Proportional to 571.83, 788.53 and 489.21

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Solution

The fourth proportional to 571.83, 788.53 and 489.21 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.83 : 788.53 = 489.21 : x
  2. Step 2: Convert to fraction form
    571.83/788.53 = 489.21/x
  3. Step 3: Cross multiply
    571.83x = 788.53 × 489.21
  4. Step 4: Simplify right side
    571.83x = 385,750.37
  5. Step 5: Solve for x
    x = 385,750.37/571.83
  6. Step 6: Final answer
    x = 674.60

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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.