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Finding the Fourth Proportional to 1,121.65, 1,682.37 and 463.34

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Solution

The fourth proportional to 1,121.65, 1,682.37 and 463.34 is: 694.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.65 : 1,682.37 = 463.34 : x
  2. Step 2: Convert to fraction form
    1,121.65/1,682.37 = 463.34/x
  3. Step 3: Cross multiply
    1,121.65x = 1,682.37 × 463.34
  4. Step 4: Simplify right side
    1,121.65x = 779,513.52
  5. Step 5: Solve for x
    x = 779,513.52/1,121.65
  6. Step 6: Final answer
    x = 694.97

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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.