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Finding the Fourth Proportional to 730.37, 1,095.75 and 405.96

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Solution

The fourth proportional to 730.37, 1,095.75 and 405.96 is: 609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.37 : 1,095.75 = 405.96 : x
  2. Step 2: Convert to fraction form
    730.37/1,095.75 = 405.96/x
  3. Step 3: Cross multiply
    730.37x = 1,095.75 × 405.96
  4. Step 4: Simplify right side
    730.37x = 444,830.67
  5. Step 5: Solve for x
    x = 444,830.67/730.37
  6. Step 6: Final answer
    x = 609.05

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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.