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Finding the Fourth Proportional to 728.38, 1,005.31 and 413.66

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Solution

The fourth proportional to 728.38, 1,005.31 and 413.66 is: 570.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.38 : 1,005.31 = 413.66 : x
  2. Step 2: Convert to fraction form
    728.38/1,005.31 = 413.66/x
  3. Step 3: Cross multiply
    728.38x = 1,005.31 × 413.66
  4. Step 4: Simplify right side
    728.38x = 415,856.53
  5. Step 5: Solve for x
    x = 415,856.53/728.38
  6. Step 6: Final answer
    x = 570.93

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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.