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Finding the Fourth Proportional to 730.11, 1,095.69 and 548.00

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Solution

The fourth proportional to 730.11, 1,095.69 and 548.00 is: 822.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.11 : 1,095.69 = 548.00 : x
  2. Step 2: Convert to fraction form
    730.11/1,095.69 = 548.00/x
  3. Step 3: Cross multiply
    730.11x = 1,095.69 × 548.00
  4. Step 4: Simplify right side
    730.11x = 600,432.64
  5. Step 5: Solve for x
    x = 600,432.64/730.11
  6. Step 6: Final answer
    x = 822.39

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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.