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Finding the Fourth Proportional to 569.74, 850.44 and 489.10

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Solution

The fourth proportional to 569.74, 850.44 and 489.10 is: 730.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.74 : 850.44 = 489.10 : x
  2. Step 2: Convert to fraction form
    569.74/850.44 = 489.10/x
  3. Step 3: Cross multiply
    569.74x = 850.44 × 489.10
  4. Step 4: Simplify right side
    569.74x = 415,945.95
  5. Step 5: Solve for x
    x = 415,945.95/569.74
  6. Step 6: Final answer
    x = 730.07

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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.