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Finding the Fourth Proportional to 1,113.11, 1,669.59 and 333.11

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Solution

The fourth proportional to 1,113.11, 1,669.59 and 333.11 is: 499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.11 : 1,669.59 = 333.11 : x
  2. Step 2: Convert to fraction form
    1,113.11/1,669.59 = 333.11/x
  3. Step 3: Cross multiply
    1,113.11x = 1,669.59 × 333.11
  4. Step 4: Simplify right side
    1,113.11x = 556,157.12
  5. Step 5: Solve for x
    x = 556,157.12/1,113.11
  6. Step 6: Final answer
    x = 499.64

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Double scale
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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.