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Finding the Fourth Proportional to 570.71, 856.11 and 246.35

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Solution

The fourth proportional to 570.71, 856.11 and 246.35 is: 369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.71 : 856.11 = 246.35 : x
  2. Step 2: Convert to fraction form
    570.71/856.11 = 246.35/x
  3. Step 3: Cross multiply
    570.71x = 856.11 × 246.35
  4. Step 4: Simplify right side
    570.71x = 210,902.70
  5. Step 5: Solve for x
    x = 210,902.70/570.71
  6. Step 6: Final answer
    x = 369.54

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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.