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Finding the Fourth Proportional to 785.04, 1,083.42 and 523.50

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Solution

The fourth proportional to 785.04, 1,083.42 and 523.50 is: 722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.04 : 1,083.42 = 523.50 : x
  2. Step 2: Convert to fraction form
    785.04/1,083.42 = 523.50/x
  3. Step 3: Cross multiply
    785.04x = 1,083.42 × 523.50
  4. Step 4: Simplify right side
    785.04x = 567,170.37
  5. Step 5: Solve for x
    x = 567,170.37/785.04
  6. Step 6: Final answer
    x = 722.47

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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.