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Finding the Fourth Proportional to 569.99, 855.39 and 281.63

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Solution

The fourth proportional to 569.99, 855.39 and 281.63 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.99 : 855.39 = 281.63 : x
  2. Step 2: Convert to fraction form
    569.99/855.39 = 281.63/x
  3. Step 3: Cross multiply
    569.99x = 855.39 × 281.63
  4. Step 4: Simplify right side
    569.99x = 240,899.21
  5. Step 5: Solve for x
    x = 240,899.21/569.99
  6. Step 6: Final answer
    x = 422.64

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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.