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Finding the Fourth Proportional to 571.96, 856.58 and 418.87

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Solution

The fourth proportional to 571.96, 856.58 and 418.87 is: 627.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.96 : 856.58 = 418.87 : x
  2. Step 2: Convert to fraction form
    571.96/856.58 = 418.87/x
  3. Step 3: Cross multiply
    571.96x = 856.58 × 418.87
  4. Step 4: Simplify right side
    571.96x = 358,794.64
  5. Step 5: Solve for x
    x = 358,794.64/571.96
  6. Step 6: Final answer
    x = 627.31

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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.