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Finding the Fourth Proportional to 788.34, 1,173.18 and 759.18

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Solution

The fourth proportional to 788.34, 1,173.18 and 759.18 is: 1,129.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.34 : 1,173.18 = 759.18 : x
  2. Step 2: Convert to fraction form
    788.34/1,173.18 = 759.18/x
  3. Step 3: Cross multiply
    788.34x = 1,173.18 × 759.18
  4. Step 4: Simplify right side
    788.34x = 890,654.79
  5. Step 5: Solve for x
    x = 890,654.79/788.34
  6. Step 6: Final answer
    x = 1,129.79

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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.