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Finding the Fourth Proportional to 569.80, 850.23 and 495.99

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Solution

The fourth proportional to 569.80, 850.23 and 495.99 is: 740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.80 : 850.23 = 495.99 : x
  2. Step 2: Convert to fraction form
    569.80/850.23 = 495.99/x
  3. Step 3: Cross multiply
    569.80x = 850.23 × 495.99
  4. Step 4: Simplify right side
    569.80x = 421,704.08
  5. Step 5: Solve for x
    x = 421,704.08/569.80
  6. Step 6: Final answer
    x = 740.10

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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.