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Finding the Fourth Proportional to 785.40, 1,083.34 and 505.19

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Solution

The fourth proportional to 785.40, 1,083.34 and 505.19 is: 696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.40 : 1,083.34 = 505.19 : x
  2. Step 2: Convert to fraction form
    785.40/1,083.34 = 505.19/x
  3. Step 3: Cross multiply
    785.40x = 1,083.34 × 505.19
  4. Step 4: Simplify right side
    785.40x = 547,297.70
  5. Step 5: Solve for x
    x = 547,297.70/785.40
  6. Step 6: Final answer
    x = 696.84

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1.5x scale

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.