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Finding the Fourth Proportional to 1,112.08, 1,668.21 and 332.02

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Solution

The fourth proportional to 1,112.08, 1,668.21 and 332.02 is: 498.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.08 : 1,668.21 = 332.02 : x
  2. Step 2: Convert to fraction form
    1,112.08/1,668.21 = 332.02/x
  3. Step 3: Cross multiply
    1,112.08x = 1,668.21 × 332.02
  4. Step 4: Simplify right side
    1,112.08x = 553,879.92
  5. Step 5: Solve for x
    x = 553,879.92/1,112.08
  6. Step 6: Final answer
    x = 498.06

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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.