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Finding the Fourth Proportional to 730.23, 1,096.52 and 483.81

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Solution

The fourth proportional to 730.23, 1,096.52 and 483.81 is: 726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.23 : 1,096.52 = 483.81 : x
  2. Step 2: Convert to fraction form
    730.23/1,096.52 = 483.81/x
  3. Step 3: Cross multiply
    730.23x = 1,096.52 × 483.81
  4. Step 4: Simplify right side
    730.23x = 530,507.34
  5. Step 5: Solve for x
    x = 530,507.34/730.23
  6. Step 6: Final answer
    x = 726.49

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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.