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Finding the Fourth Proportional to 728.12, 1,004.08 and 465.68

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Solution

The fourth proportional to 728.12, 1,004.08 and 465.68 is: 642.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.12 : 1,004.08 = 465.68 : x
  2. Step 2: Convert to fraction form
    728.12/1,004.08 = 465.68/x
  3. Step 3: Cross multiply
    728.12x = 1,004.08 × 465.68
  4. Step 4: Simplify right side
    728.12x = 467,579.97
  5. Step 5: Solve for x
    x = 467,579.97/728.12
  6. Step 6: Final answer
    x = 642.17

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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.