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Finding the Fourth Proportional to 569.12, 850.42 and 498.80

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Solution

The fourth proportional to 569.12, 850.42 and 498.80 is: 745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.12 : 850.42 = 498.80 : x
  2. Step 2: Convert to fraction form
    569.12/850.42 = 498.80/x
  3. Step 3: Cross multiply
    569.12x = 850.42 × 498.80
  4. Step 4: Simplify right side
    569.12x = 424,189.50
  5. Step 5: Solve for x
    x = 424,189.50/569.12
  6. Step 6: Final answer
    x = 745.34

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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.