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Finding the Fourth Proportional to 730.29, 1,097.33 and 548.85

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Solution

The fourth proportional to 730.29, 1,097.33 and 548.85 is: 824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.29 : 1,097.33 = 548.85 : x
  2. Step 2: Convert to fraction form
    730.29/1,097.33 = 548.85/x
  3. Step 3: Cross multiply
    730.29x = 1,097.33 × 548.85
  4. Step 4: Simplify right side
    730.29x = 602,266.83
  5. Step 5: Solve for x
    x = 602,266.83/730.29
  6. Step 6: Final answer
    x = 824.70

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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.