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Finding the Fourth Proportional to 571.05, 857.18 and 541.89

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Solution

The fourth proportional to 571.05, 857.18 and 541.89 is: 813.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.05 : 857.18 = 541.89 : x
  2. Step 2: Convert to fraction form
    571.05/857.18 = 541.89/x
  3. Step 3: Cross multiply
    571.05x = 857.18 × 541.89
  4. Step 4: Simplify right side
    571.05x = 464,498.62
  5. Step 5: Solve for x
    x = 464,498.62/571.05
  6. Step 6: Final answer
    x = 813.41

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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.