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Finding the Fourth Proportional to 2,213.23, 3,319.84 and 569.76

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Solution

The fourth proportional to 2,213.23, 3,319.84 and 569.76 is: 854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,213.23 : 3,319.84 = 569.76 : x
  2. Step 2: Convert to fraction form
    2,213.23/3,319.84 = 569.76/x
  3. Step 3: Cross multiply
    2,213.23x = 3,319.84 × 569.76
  4. Step 4: Simplify right side
    2,213.23x = 1,891,510.61
  5. Step 5: Solve for x
    x = 1,891,510.61/2,213.23
  6. Step 6: Final answer
    x = 854.64

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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.