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Finding the Fourth Proportional to 874.20, 1,205.67 and 741.77

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Solution

The fourth proportional to 874.20, 1,205.67 and 741.77 is: 1,023.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.20 : 1,205.67 = 741.77 : x
  2. Step 2: Convert to fraction form
    874.20/1,205.67 = 741.77/x
  3. Step 3: Cross multiply
    874.20x = 1,205.67 × 741.77
  4. Step 4: Simplify right side
    874.20x = 894,323.81
  5. Step 5: Solve for x
    x = 894,323.81/874.20
  6. Step 6: Final answer
    x = 1,023.02

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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.