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Finding the Fourth Proportional to 569.90, 855.16 and 245.23

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Solution

The fourth proportional to 569.90, 855.16 and 245.23 is: 367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.90 : 855.16 = 245.23 : x
  2. Step 2: Convert to fraction form
    569.90/855.16 = 245.23/x
  3. Step 3: Cross multiply
    569.90x = 855.16 × 245.23
  4. Step 4: Simplify right side
    569.90x = 209,708.14
  5. Step 5: Solve for x
    x = 209,708.14/569.90
  6. Step 6: Final answer
    x = 367.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.