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Finding the Fourth Proportional to 571.77, 856.51 and 263.20

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Solution

The fourth proportional to 571.77, 856.51 and 263.20 is: 394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.77 : 856.51 = 263.20 : x
  2. Step 2: Convert to fraction form
    571.77/856.51 = 263.20/x
  3. Step 3: Cross multiply
    571.77x = 856.51 × 263.20
  4. Step 4: Simplify right side
    571.77x = 225,430.63
  5. Step 5: Solve for x
    x = 225,430.63/571.77
  6. Step 6: Final answer
    x = 394.27

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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.