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Finding the Fourth Proportional to 728.25, 1,003.59 and 465.81

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Solution

The fourth proportional to 728.25, 1,003.59 and 465.81 is: 641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.25 : 1,003.59 = 465.81 : x
  2. Step 2: Convert to fraction form
    728.25/1,003.59 = 465.81/x
  3. Step 3: Cross multiply
    728.25x = 1,003.59 × 465.81
  4. Step 4: Simplify right side
    728.25x = 467,482.26
  5. Step 5: Solve for x
    x = 467,482.26/728.25
  6. Step 6: Final answer
    x = 641.93

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