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Finding the Fourth Proportional to 785.30, 1,171.01 and 778.27

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Solution

The fourth proportional to 785.30, 1,171.01 and 778.27 is: 1,160.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.30 : 1,171.01 = 778.27 : x
  2. Step 2: Convert to fraction form
    785.30/1,171.01 = 778.27/x
  3. Step 3: Cross multiply
    785.30x = 1,171.01 × 778.27
  4. Step 4: Simplify right side
    785.30x = 911,361.95
  5. Step 5: Solve for x
    x = 911,361.95/785.30
  6. Step 6: Final answer
    x = 1,160.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.