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Finding the Fourth Proportional to 1,112.00, 1,667.79 and 332.10

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Solution

The fourth proportional to 1,112.00, 1,667.79 and 332.10 is: 498.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.00 : 1,667.79 = 332.10 : x
  2. Step 2: Convert to fraction form
    1,112.00/1,667.79 = 332.10/x
  3. Step 3: Cross multiply
    1,112.00x = 1,667.79 × 332.10
  4. Step 4: Simplify right side
    1,112.00x = 553,873.06
  5. Step 5: Solve for x
    x = 553,873.06/1,112.00
  6. Step 6: Final answer
    x = 498.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.