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Finding the Fourth Proportional to 783.67, 1,081.46 and 452.09

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Solution

The fourth proportional to 783.67, 1,081.46 and 452.09 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.67 : 1,081.46 = 452.09 : x
  2. Step 2: Convert to fraction form
    783.67/1,081.46 = 452.09/x
  3. Step 3: Cross multiply
    783.67x = 1,081.46 × 452.09
  4. Step 4: Simplify right side
    783.67x = 488,917.25
  5. Step 5: Solve for x
    x = 488,917.25/783.67
  6. Step 6: Final answer
    x = 623.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.