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Finding the Fourth Proportional to 1,112.21, 1,668.50 and 418.93

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Solution

The fourth proportional to 1,112.21, 1,668.50 and 418.93 is: 628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.21 : 1,668.50 = 418.93 : x
  2. Step 2: Convert to fraction form
    1,112.21/1,668.50 = 418.93/x
  3. Step 3: Cross multiply
    1,112.21x = 1,668.50 × 418.93
  4. Step 4: Simplify right side
    1,112.21x = 698,984.71
  5. Step 5: Solve for x
    x = 698,984.71/1,112.21
  6. Step 6: Final answer
    x = 628.46

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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.