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Finding the Fourth Proportional to 914.85, 1,372.68 and 900.27

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Solution

The fourth proportional to 914.85, 1,372.68 and 900.27 is: 1,350.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.85 : 1,372.68 = 900.27 : x
  2. Step 2: Convert to fraction form
    914.85/1,372.68 = 900.27/x
  3. Step 3: Cross multiply
    914.85x = 1,372.68 × 900.27
  4. Step 4: Simplify right side
    914.85x = 1,235,782.62
  5. Step 5: Solve for x
    x = 1,235,782.62/914.85
  6. Step 6: Final answer
    x = 1,350.80

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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.