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Finding the Fourth Proportional to 2,428.66, 3,643.23 and 697.54

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Solution

The fourth proportional to 2,428.66, 3,643.23 and 697.54 is: 1,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,428.66 : 3,643.23 = 697.54 : x
  2. Step 2: Convert to fraction form
    2,428.66/3,643.23 = 697.54/x
  3. Step 3: Cross multiply
    2,428.66x = 3,643.23 × 697.54
  4. Step 4: Simplify right side
    2,428.66x = 2,541,298.65
  5. Step 5: Solve for x
    x = 2,541,298.65/2,428.66
  6. Step 6: Final answer
    x = 1,046.38

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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.