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Finding the Fourth Proportional to 571.83, 856.13 and 365.90

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Solution

The fourth proportional to 571.83, 856.13 and 365.90 is: 547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.83 : 856.13 = 365.90 : x
  2. Step 2: Convert to fraction form
    571.83/856.13 = 365.90/x
  3. Step 3: Cross multiply
    571.83x = 856.13 × 365.90
  4. Step 4: Simplify right side
    571.83x = 313,251.86
  5. Step 5: Solve for x
    x = 313,251.86/571.83
  6. Step 6: Final answer
    x = 547.81

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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.