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Finding the Fourth Proportional to 785.10, 1,083.02 and 536.42

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Solution

The fourth proportional to 785.10, 1,083.02 and 536.42 is: 739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.10 : 1,083.02 = 536.42 : x
  2. Step 2: Convert to fraction form
    785.10/1,083.02 = 536.42/x
  3. Step 3: Cross multiply
    785.10x = 1,083.02 × 536.42
  4. Step 4: Simplify right side
    785.10x = 580,953.59
  5. Step 5: Solve for x
    x = 580,953.59/785.10
  6. Step 6: Final answer
    x = 739.97

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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.