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Finding the Fourth Proportional to 730.35, 1,097.78 and 488.43

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Solution

The fourth proportional to 730.35, 1,097.78 and 488.43 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,097.78 = 488.43 : x
  2. Step 2: Convert to fraction form
    730.35/1,097.78 = 488.43/x
  3. Step 3: Cross multiply
    730.35x = 1,097.78 × 488.43
  4. Step 4: Simplify right side
    730.35x = 536,186.24
  5. Step 5: Solve for x
    x = 536,186.24/730.35
  6. Step 6: Final answer
    x = 734.15

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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.