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Finding the Fourth Proportional to 728.94, 1,005.84 and 467.31

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Solution

The fourth proportional to 728.94, 1,005.84 and 467.31 is: 644.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.94 : 1,005.84 = 467.31 : x
  2. Step 2: Convert to fraction form
    728.94/1,005.84 = 467.31/x
  3. Step 3: Cross multiply
    728.94x = 1,005.84 × 467.31
  4. Step 4: Simplify right side
    728.94x = 470,039.09
  5. Step 5: Solve for x
    x = 470,039.09/728.94
  6. Step 6: Final answer
    x = 644.83

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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.