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Finding the Fourth Proportional to 730.56, 1,095.78 and 243.45

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Solution

The fourth proportional to 730.56, 1,095.78 and 243.45 is: 365.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.56 : 1,095.78 = 243.45 : x
  2. Step 2: Convert to fraction form
    730.56/1,095.78 = 243.45/x
  3. Step 3: Cross multiply
    730.56x = 1,095.78 × 243.45
  4. Step 4: Simplify right side
    730.56x = 266,767.64
  5. Step 5: Solve for x
    x = 266,767.64/730.56
  6. Step 6: Final answer
    x = 365.16

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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.