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Finding the Fourth Proportional to 1,024.29, 1,413.52 and 558.54

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Solution

The fourth proportional to 1,024.29, 1,413.52 and 558.54 is: 770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.29 : 1,413.52 = 558.54 : x
  2. Step 2: Convert to fraction form
    1,024.29/1,413.52 = 558.54/x
  3. Step 3: Cross multiply
    1,024.29x = 1,413.52 × 558.54
  4. Step 4: Simplify right side
    1,024.29x = 789,506.06
  5. Step 5: Solve for x
    x = 789,506.06/1,024.29
  6. Step 6: Final answer
    x = 770.78

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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.