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Finding the Fourth Proportional to 890.20, 1,328.87 and 850.25

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Solution

The fourth proportional to 890.20, 1,328.87 and 850.25 is: 1,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.20 : 1,328.87 = 850.25 : x
  2. Step 2: Convert to fraction form
    890.20/1,328.87 = 850.25/x
  3. Step 3: Cross multiply
    890.20x = 1,328.87 × 850.25
  4. Step 4: Simplify right side
    890.20x = 1,129,870.79
  5. Step 5: Solve for x
    x = 1,129,870.79/890.20
  6. Step 6: Final answer
    x = 1,269.24

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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.