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Finding the Fourth Proportional to 784.96, 1,083.29 and 453.44

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Solution

The fourth proportional to 784.96, 1,083.29 and 453.44 is: 625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.96 : 1,083.29 = 453.44 : x
  2. Step 2: Convert to fraction form
    784.96/1,083.29 = 453.44/x
  3. Step 3: Cross multiply
    784.96x = 1,083.29 × 453.44
  4. Step 4: Simplify right side
    784.96x = 491,207.02
  5. Step 5: Solve for x
    x = 491,207.02/784.96
  6. Step 6: Final answer
    x = 625.77

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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.