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Finding the Fourth Proportional to 974.13, 1,459.11 and 788.23

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Solution

The fourth proportional to 974.13, 1,459.11 and 788.23 is: 1,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    974.13 : 1,459.11 = 788.23 : x
  2. Step 2: Convert to fraction form
    974.13/1,459.11 = 788.23/x
  3. Step 3: Cross multiply
    974.13x = 1,459.11 × 788.23
  4. Step 4: Simplify right side
    974.13x = 1,150,119.06
  5. Step 5: Solve for x
    x = 1,150,119.06/974.13
  6. Step 6: Final answer
    x = 1,180.67

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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.