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Finding the Fourth Proportional to 1,112.12, 1,668.05 and 332.12

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Solution

The fourth proportional to 1,112.12, 1,668.05 and 332.12 is: 498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,112.12 : 1,668.05 = 332.12 : x
  2. Step 2: Convert to fraction form
    1,112.12/1,668.05 = 332.12/x
  3. Step 3: Cross multiply
    1,112.12x = 1,668.05 × 332.12
  4. Step 4: Simplify right side
    1,112.12x = 553,982.77
  5. Step 5: Solve for x
    x = 553,982.77/1,112.12
  6. Step 6: Final answer
    x = 498.13

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1.5x scale

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.