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Finding the Fourth Proportional to 783.50, 1,081.10 and 451.97

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Solution

The fourth proportional to 783.50, 1,081.10 and 451.97 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.50 : 1,081.10 = 451.97 : x
  2. Step 2: Convert to fraction form
    783.50/1,081.10 = 451.97/x
  3. Step 3: Cross multiply
    783.50x = 1,081.10 × 451.97
  4. Step 4: Simplify right side
    783.50x = 488,617.10
  5. Step 5: Solve for x
    x = 488,617.10/783.50
  6. Step 6: Final answer
    x = 623.64

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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.