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Finding the Fourth Proportional to 1,107.20, 1,658.60 and 970.40

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Solution

The fourth proportional to 1,107.20, 1,658.60 and 970.40 is: 1,453.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.20 : 1,658.60 = 970.40 : x
  2. Step 2: Convert to fraction form
    1,107.20/1,658.60 = 970.40/x
  3. Step 3: Cross multiply
    1,107.20x = 1,658.60 × 970.40
  4. Step 4: Simplify right side
    1,107.20x = 1,609,505.44
  5. Step 5: Solve for x
    x = 1,609,505.44/1,107.20
  6. Step 6: Final answer
    x = 1,453.67

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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.