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Finding the Fourth Proportional to 730.73, 1,008.31 and 465.20

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Solution

The fourth proportional to 730.73, 1,008.31 and 465.20 is: 641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.73 : 1,008.31 = 465.20 : x
  2. Step 2: Convert to fraction form
    730.73/1,008.31 = 465.20/x
  3. Step 3: Cross multiply
    730.73x = 1,008.31 × 465.20
  4. Step 4: Simplify right side
    730.73x = 469,065.81
  5. Step 5: Solve for x
    x = 469,065.81/730.73
  6. Step 6: Final answer
    x = 641.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.