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Finding the Fourth Proportional to 1,219.68, 1,828.18 and 569.88

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Solution

The fourth proportional to 1,219.68, 1,828.18 and 569.88 is: 854.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.68 : 1,828.18 = 569.88 : x
  2. Step 2: Convert to fraction form
    1,219.68/1,828.18 = 569.88/x
  3. Step 3: Cross multiply
    1,219.68x = 1,828.18 × 569.88
  4. Step 4: Simplify right side
    1,219.68x = 1,041,843.22
  5. Step 5: Solve for x
    x = 1,041,843.22/1,219.68
  6. Step 6: Final answer
    x = 854.19

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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.