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Finding the Fourth Proportional to 571.77, 856.49 and 339.98

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Solution

The fourth proportional to 571.77, 856.49 and 339.98 is: 509.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 856.49 = 339.98 : x
  2. Step 2: Convert to fraction form
    571.77/856.49 = 339.98/x
  3. Step 3: Cross multiply
    571.77x = 856.49 × 339.98
  4. Step 4: Simplify right side
    571.77x = 291,183.49
  5. Step 5: Solve for x
    x = 291,183.49/571.77
  6. Step 6: Final answer
    x = 509.27

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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.