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Finding the Fourth Proportional to 785.80, 1,083.86 and 505.94

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Solution

The fourth proportional to 785.80, 1,083.86 and 505.94 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.80 : 1,083.86 = 505.94 : x
  2. Step 2: Convert to fraction form
    785.80/1,083.86 = 505.94/x
  3. Step 3: Cross multiply
    785.80x = 1,083.86 × 505.94
  4. Step 4: Simplify right side
    785.80x = 548,368.13
  5. Step 5: Solve for x
    x = 548,368.13/785.80
  6. Step 6: Final answer
    x = 697.85

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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.