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Finding the Fourth Proportional to 1,216.63, 1,825.14 and 394.84

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Solution

The fourth proportional to 1,216.63, 1,825.14 and 394.84 is: 592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.63 : 1,825.14 = 394.84 : x
  2. Step 2: Convert to fraction form
    1,216.63/1,825.14 = 394.84/x
  3. Step 3: Cross multiply
    1,216.63x = 1,825.14 × 394.84
  4. Step 4: Simplify right side
    1,216.63x = 720,638.28
  5. Step 5: Solve for x
    x = 720,638.28/1,216.63
  6. Step 6: Final answer
    x = 592.32

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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.