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Finding the Fourth Proportional to 744.89, 1,027.91 and 413.29

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Solution

The fourth proportional to 744.89, 1,027.91 and 413.29 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.89 : 1,027.91 = 413.29 : x
  2. Step 2: Convert to fraction form
    744.89/1,027.91 = 413.29/x
  3. Step 3: Cross multiply
    744.89x = 1,027.91 × 413.29
  4. Step 4: Simplify right side
    744.89x = 424,822.86
  5. Step 5: Solve for x
    x = 424,822.86/744.89
  6. Step 6: Final answer
    x = 570.32

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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.