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Finding the Fourth Proportional to 1,112.74, 1,667.95 and 418.93

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Solution

The fourth proportional to 1,112.74, 1,667.95 and 418.93 is: 627.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.74 : 1,667.95 = 418.93 : x
  2. Step 2: Convert to fraction form
    1,112.74/1,667.95 = 418.93/x
  3. Step 3: Cross multiply
    1,112.74x = 1,667.95 × 418.93
  4. Step 4: Simplify right side
    1,112.74x = 698,749.08
  5. Step 5: Solve for x
    x = 698,749.08/1,112.74
  6. Step 6: Final answer
    x = 627.95

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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.