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Finding the Fourth Proportional to 788.58, 1,176.88 and 756.79

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Solution

The fourth proportional to 788.58, 1,176.88 and 756.79 is: 1,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.58 : 1,176.88 = 756.79 : x
  2. Step 2: Convert to fraction form
    788.58/1,176.88 = 756.79/x
  3. Step 3: Cross multiply
    788.58x = 1,176.88 × 756.79
  4. Step 4: Simplify right side
    788.58x = 890,651.02
  5. Step 5: Solve for x
    x = 890,651.02/788.58
  6. Step 6: Final answer
    x = 1,129.44

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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.