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Finding the Fourth Proportional to 2,213.54, 3,320.34 and 570.05

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Solution

The fourth proportional to 2,213.54, 3,320.34 and 570.05 is: 855.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.54 : 3,320.34 = 570.05 : x
  2. Step 2: Convert to fraction form
    2,213.54/3,320.34 = 570.05/x
  3. Step 3: Cross multiply
    2,213.54x = 3,320.34 × 570.05
  4. Step 4: Simplify right side
    2,213.54x = 1,892,740.37
  5. Step 5: Solve for x
    x = 1,892,740.37/2,213.54
  6. Step 6: Final answer
    x = 855.08

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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.