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Finding the Fourth Proportional to 570.60, 856.32 and 246.06

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Solution

The fourth proportional to 570.60, 856.32 and 246.06 is: 369.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.60 : 856.32 = 246.06 : x
  2. Step 2: Convert to fraction form
    570.60/856.32 = 246.06/x
  3. Step 3: Cross multiply
    570.60x = 856.32 × 246.06
  4. Step 4: Simplify right side
    570.60x = 210,706.10
  5. Step 5: Solve for x
    x = 210,706.10/570.60
  6. Step 6: Final answer
    x = 369.27

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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.