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Finding the Fourth Proportional to 920.23, 1,269.66 and 874.06

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Solution

The fourth proportional to 920.23, 1,269.66 and 874.06 is: 1,205.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.23 : 1,269.66 = 874.06 : x
  2. Step 2: Convert to fraction form
    920.23/1,269.66 = 874.06/x
  3. Step 3: Cross multiply
    920.23x = 1,269.66 × 874.06
  4. Step 4: Simplify right side
    920.23x = 1,109,759.02
  5. Step 5: Solve for x
    x = 1,109,759.02/920.23
  6. Step 6: Final answer
    x = 1,205.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.