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Finding the Fourth Proportional to 788.74, 1,183.50 and 691.12

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Solution

The fourth proportional to 788.74, 1,183.50 and 691.12 is: 1,037.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.74 : 1,183.50 = 691.12 : x
  2. Step 2: Convert to fraction form
    788.74/1,183.50 = 691.12/x
  3. Step 3: Cross multiply
    788.74x = 1,183.50 × 691.12
  4. Step 4: Simplify right side
    788.74x = 817,940.52
  5. Step 5: Solve for x
    x = 817,940.52/788.74
  6. Step 6: Final answer
    x = 1,037.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.