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Finding the Fourth Proportional to 569.90, 850.38 and 535.07

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Solution

The fourth proportional to 569.90, 850.38 and 535.07 is: 798.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 850.38 = 535.07 : x
  2. Step 2: Convert to fraction form
    569.90/850.38 = 535.07/x
  3. Step 3: Cross multiply
    569.90x = 850.38 × 535.07
  4. Step 4: Simplify right side
    569.90x = 455,015.96
  5. Step 5: Solve for x
    x = 455,015.96/569.90
  6. Step 6: Final answer
    x = 798.41

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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.