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Finding the Fourth Proportional to 2,213.76, 3,320.64 and 570.31

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Solution

The fourth proportional to 2,213.76, 3,320.64 and 570.31 is: 855.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.76 : 3,320.64 = 570.31 : x
  2. Step 2: Convert to fraction form
    2,213.76/3,320.64 = 570.31/x
  3. Step 3: Cross multiply
    2,213.76x = 3,320.64 × 570.31
  4. Step 4: Simplify right side
    2,213.76x = 1,893,794.20
  5. Step 5: Solve for x
    x = 1,893,794.20/2,213.76
  6. Step 6: Final answer
    x = 855.47

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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.