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Finding the Fourth Proportional to 730.05, 1,095.09 and 407.48

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Solution

The fourth proportional to 730.05, 1,095.09 and 407.48 is: 611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.05 : 1,095.09 = 407.48 : x
  2. Step 2: Convert to fraction form
    730.05/1,095.09 = 407.48/x
  3. Step 3: Cross multiply
    730.05x = 1,095.09 × 407.48
  4. Step 4: Simplify right side
    730.05x = 446,221.80
  5. Step 5: Solve for x
    x = 446,221.80/730.05
  6. Step 6: Final answer
    x = 611.22

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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.