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Finding the Fourth Proportional to 1,112.39, 1,668.63 and 382.04

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Solution

The fourth proportional to 1,112.39, 1,668.63 and 382.04 is: 573.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.39 : 1,668.63 = 382.04 : x
  2. Step 2: Convert to fraction form
    1,112.39/1,668.63 = 382.04/x
  3. Step 3: Cross multiply
    1,112.39x = 1,668.63 × 382.04
  4. Step 4: Simplify right side
    1,112.39x = 637,483.41
  5. Step 5: Solve for x
    x = 637,483.41/1,112.39
  6. Step 6: Final answer
    x = 573.08

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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.