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Finding the Fourth Proportional to 918.20, 1,375.70 and 860.60

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Solution

The fourth proportional to 918.20, 1,375.70 and 860.60 is: 1,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.20 : 1,375.70 = 860.60 : x
  2. Step 2: Convert to fraction form
    918.20/1,375.70 = 860.60/x
  3. Step 3: Cross multiply
    918.20x = 1,375.70 × 860.60
  4. Step 4: Simplify right side
    918.20x = 1,183,927.42
  5. Step 5: Solve for x
    x = 1,183,927.42/918.20
  6. Step 6: Final answer
    x = 1,289.40

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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.