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Finding the Fourth Proportional to 967.13, 1,340.25 and 948.67

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Solution

The fourth proportional to 967.13, 1,340.25 and 948.67 is: 1,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.13 : 1,340.25 = 948.67 : x
  2. Step 2: Convert to fraction form
    967.13/1,340.25 = 948.67/x
  3. Step 3: Cross multiply
    967.13x = 1,340.25 × 948.67
  4. Step 4: Simplify right side
    967.13x = 1,271,454.97
  5. Step 5: Solve for x
    x = 1,271,454.97/967.13
  6. Step 6: Final answer
    x = 1,314.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.