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Finding the Fourth Proportional to 569.80, 850.81 and 499.87

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Solution

The fourth proportional to 569.80, 850.81 and 499.87 is: 746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 850.81 = 499.87 : x
  2. Step 2: Convert to fraction form
    569.80/850.81 = 499.87/x
  3. Step 3: Cross multiply
    569.80x = 850.81 × 499.87
  4. Step 4: Simplify right side
    569.80x = 425,290.14
  5. Step 5: Solve for x
    x = 425,290.14/569.80
  6. Step 6: Final answer
    x = 746.39

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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.