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Finding the Fourth Proportional to 569.89, 850.36 and 535.06

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Solution

The fourth proportional to 569.89, 850.36 and 535.06 is: 798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.89 : 850.36 = 535.06 : x
  2. Step 2: Convert to fraction form
    569.89/850.36 = 535.06/x
  3. Step 3: Cross multiply
    569.89x = 850.36 × 535.06
  4. Step 4: Simplify right side
    569.89x = 454,993.62
  5. Step 5: Solve for x
    x = 454,993.62/569.89
  6. Step 6: Final answer
    x = 798.39

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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.