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Finding the Fourth Proportional to 2,245.01, 3,366.59 and 783.66

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Solution

The fourth proportional to 2,245.01, 3,366.59 and 783.66 is: 1,175.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.01 : 3,366.59 = 783.66 : x
  2. Step 2: Convert to fraction form
    2,245.01/3,366.59 = 783.66/x
  3. Step 3: Cross multiply
    2,245.01x = 3,366.59 × 783.66
  4. Step 4: Simplify right side
    2,245.01x = 2,638,258.00
  5. Step 5: Solve for x
    x = 2,638,258.00/2,245.01
  6. Step 6: Final answer
    x = 1,175.17

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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.