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Finding the Fourth Proportional to 1,121.84, 1,682.32 and 472.40

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Solution

The fourth proportional to 1,121.84, 1,682.32 and 472.40 is: 708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121.84 : 1,682.32 = 472.40 : x
  2. Step 2: Convert to fraction form
    1,121.84/1,682.32 = 472.40/x
  3. Step 3: Cross multiply
    1,121.84x = 1,682.32 × 472.40
  4. Step 4: Simplify right side
    1,121.84x = 794,727.97
  5. Step 5: Solve for x
    x = 794,727.97/1,121.84
  6. Step 6: Final answer
    x = 708.41

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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.