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Finding the Fourth Proportional to 571.41, 856.53 and 297.81

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Solution

The fourth proportional to 571.41, 856.53 and 297.81 is: 446.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.41 : 856.53 = 297.81 : x
  2. Step 2: Convert to fraction form
    571.41/856.53 = 297.81/x
  3. Step 3: Cross multiply
    571.41x = 856.53 × 297.81
  4. Step 4: Simplify right side
    571.41x = 255,083.20
  5. Step 5: Solve for x
    x = 255,083.20/571.41
  6. Step 6: Final answer
    x = 446.41

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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.