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Finding the Fourth Proportional to 2,214.32, 3,321.47 and 570.73

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Solution

The fourth proportional to 2,214.32, 3,321.47 and 570.73 is: 856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.32 : 3,321.47 = 570.73 : x
  2. Step 2: Convert to fraction form
    2,214.32/3,321.47 = 570.73/x
  3. Step 3: Cross multiply
    2,214.32x = 3,321.47 × 570.73
  4. Step 4: Simplify right side
    2,214.32x = 1,895,655.70
  5. Step 5: Solve for x
    x = 1,895,655.70/2,214.32
  6. Step 6: Final answer
    x = 856.09

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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.