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Finding the Fourth Proportional to 569.86, 850.63 and 489.22

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Solution

The fourth proportional to 569.86, 850.63 and 489.22 is: 730.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.86 : 850.63 = 489.22 : x
  2. Step 2: Convert to fraction form
    569.86/850.63 = 489.22/x
  3. Step 3: Cross multiply
    569.86x = 850.63 × 489.22
  4. Step 4: Simplify right side
    569.86x = 416,145.21
  5. Step 5: Solve for x
    x = 416,145.21/569.86
  6. Step 6: Final answer
    x = 730.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.