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Finding the Fourth Proportional to 880.93, 1,327.43 and 730.23

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Solution

The fourth proportional to 880.93, 1,327.43 and 730.23 is: 1,100.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.93 : 1,327.43 = 730.23 : x
  2. Step 2: Convert to fraction form
    880.93/1,327.43 = 730.23/x
  3. Step 3: Cross multiply
    880.93x = 1,327.43 × 730.23
  4. Step 4: Simplify right side
    880.93x = 969,329.21
  5. Step 5: Solve for x
    x = 969,329.21/880.93
  6. Step 6: Final answer
    x = 1,100.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.