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Finding the Fourth Proportional to 788.93, 1,174.98 and 738.30

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Solution

The fourth proportional to 788.93, 1,174.98 and 738.30 is: 1,099.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.93 : 1,174.98 = 738.30 : x
  2. Step 2: Convert to fraction form
    788.93/1,174.98 = 738.30/x
  3. Step 3: Cross multiply
    788.93x = 1,174.98 × 738.30
  4. Step 4: Simplify right side
    788.93x = 867,487.73
  5. Step 5: Solve for x
    x = 867,487.73/788.93
  6. Step 6: Final answer
    x = 1,099.58

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Double scale
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1.5x scale

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.