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Finding the Fourth Proportional to 730.41, 1,095.90 and 442.05

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Solution

The fourth proportional to 730.41, 1,095.90 and 442.05 is: 663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.41 : 1,095.90 = 442.05 : x
  2. Step 2: Convert to fraction form
    730.41/1,095.90 = 442.05/x
  3. Step 3: Cross multiply
    730.41x = 1,095.90 × 442.05
  4. Step 4: Simplify right side
    730.41x = 484,442.60
  5. Step 5: Solve for x
    x = 484,442.60/730.41
  6. Step 6: Final answer
    x = 663.25

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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.