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Finding the Fourth Proportional to 1,024.12, 1,413.32 and 558.40

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Solution

The fourth proportional to 1,024.12, 1,413.32 and 558.40 is: 770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.12 : 1,413.32 = 558.40 : x
  2. Step 2: Convert to fraction form
    1,024.12/1,413.32 = 558.40/x
  3. Step 3: Cross multiply
    1,024.12x = 1,413.32 × 558.40
  4. Step 4: Simplify right side
    1,024.12x = 789,197.89
  5. Step 5: Solve for x
    x = 789,197.89/1,024.12
  6. Step 6: Final answer
    x = 770.61

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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.