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Finding the Fourth Proportional to 1,216.49, 1,678.41 and 705.27

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Solution

The fourth proportional to 1,216.49, 1,678.41 and 705.27 is: 973.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.49 : 1,678.41 = 705.27 : x
  2. Step 2: Convert to fraction form
    1,216.49/1,678.41 = 705.27/x
  3. Step 3: Cross multiply
    1,216.49x = 1,678.41 × 705.27
  4. Step 4: Simplify right side
    1,216.49x = 1,183,732.22
  5. Step 5: Solve for x
    x = 1,183,732.22/1,216.49
  6. Step 6: Final answer
    x = 973.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.