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Finding the Fourth Proportional to 578.21, 857.12 and 569.03

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Solution

The fourth proportional to 578.21, 857.12 and 569.03 is: 843.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.21 : 857.12 = 569.03 : x
  2. Step 2: Convert to fraction form
    578.21/857.12 = 569.03/x
  3. Step 3: Cross multiply
    578.21x = 857.12 × 569.03
  4. Step 4: Simplify right side
    578.21x = 487,719.86
  5. Step 5: Solve for x
    x = 487,719.86/578.21
  6. Step 6: Final answer
    x = 843.51

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.