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Finding the Fourth Proportional to 728.92, 1,005.89 and 414.19

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Solution

The fourth proportional to 728.92, 1,005.89 and 414.19 is: 571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.92 : 1,005.89 = 414.19 : x
  2. Step 2: Convert to fraction form
    728.92/1,005.89 = 414.19/x
  3. Step 3: Cross multiply
    728.92x = 1,005.89 × 414.19
  4. Step 4: Simplify right side
    728.92x = 416,629.58
  5. Step 5: Solve for x
    x = 416,629.58/728.92
  6. Step 6: Final answer
    x = 571.57

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Double scale
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1.5x scale

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.