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Finding the Fourth Proportional to 914.10, 1,369.09 and 883.34

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Solution

The fourth proportional to 914.10, 1,369.09 and 883.34 is: 1,323.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.10 : 1,369.09 = 883.34 : x
  2. Step 2: Convert to fraction form
    914.10/1,369.09 = 883.34/x
  3. Step 3: Cross multiply
    914.10x = 1,369.09 × 883.34
  4. Step 4: Simplify right side
    914.10x = 1,209,379.05
  5. Step 5: Solve for x
    x = 1,209,379.05/914.10
  6. Step 6: Final answer
    x = 1,323.03

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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.