Home / 1,024.20-1,413.70-971.96

Finding the Fourth Proportional to 1,024.20, 1,413.70 and 971.96

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Solution

The fourth proportional to 1,024.20, 1,413.70 and 971.96 is: 1,341.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.20 : 1,413.70 = 971.96 : x
  2. Step 2: Convert to fraction form
    1,024.20/1,413.70 = 971.96/x
  3. Step 3: Cross multiply
    1,024.20x = 1,413.70 × 971.96
  4. Step 4: Simplify right side
    1,024.20x = 1,374,059.85
  5. Step 5: Solve for x
    x = 1,374,059.85/1,024.20
  6. Step 6: Final answer
    x = 1,341.59

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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.