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Finding the Fourth Proportional to 571.08, 857.34 and 379.08

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Solution

The fourth proportional to 571.08, 857.34 and 379.08 is: 569.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.08 : 857.34 = 379.08 : x
  2. Step 2: Convert to fraction form
    571.08/857.34 = 379.08/x
  3. Step 3: Cross multiply
    571.08x = 857.34 × 379.08
  4. Step 4: Simplify right side
    571.08x = 325,000.45
  5. Step 5: Solve for x
    x = 325,000.45/571.08
  6. Step 6: Final answer
    x = 569.10

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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.