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Finding the Fourth Proportional to 788.99, 1,183.62 and 442.18

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Solution

The fourth proportional to 788.99, 1,183.62 and 442.18 is: 663.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.99 : 1,183.62 = 442.18 : x
  2. Step 2: Convert to fraction form
    788.99/1,183.62 = 442.18/x
  3. Step 3: Cross multiply
    788.99x = 1,183.62 × 442.18
  4. Step 4: Simplify right side
    788.99x = 523,367.17
  5. Step 5: Solve for x
    x = 523,367.17/788.99
  6. Step 6: Final answer
    x = 663.34

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Double scale
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1.5x scale

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.