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Finding the Fourth Proportional to 728.95, 1,005.95 and 414.28

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Solution

The fourth proportional to 728.95, 1,005.95 and 414.28 is: 571.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.95 : 1,005.95 = 414.28 : x
  2. Step 2: Convert to fraction form
    728.95/1,005.95 = 414.28/x
  3. Step 3: Cross multiply
    728.95x = 1,005.95 × 414.28
  4. Step 4: Simplify right side
    728.95x = 416,747.26
  5. Step 5: Solve for x
    x = 416,747.26/728.95
  6. Step 6: Final answer
    x = 571.71

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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.