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Finding the Fourth Proportional to 880.36, 1,323.42 and 736.36

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Solution

The fourth proportional to 880.36, 1,323.42 and 736.36 is: 1,106.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.36 : 1,323.42 = 736.36 : x
  2. Step 2: Convert to fraction form
    880.36/1,323.42 = 736.36/x
  3. Step 3: Cross multiply
    880.36x = 1,323.42 × 736.36
  4. Step 4: Simplify right side
    880.36x = 974,513.55
  5. Step 5: Solve for x
    x = 974,513.55/880.36
  6. Step 6: Final answer
    x = 1,106.95

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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.