Home / 1,023.97-1,413.60-631.22

Finding the Fourth Proportional to 1,023.97, 1,413.60 and 631.22

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Solution

The fourth proportional to 1,023.97, 1,413.60 and 631.22 is: 871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.97 : 1,413.60 = 631.22 : x
  2. Step 2: Convert to fraction form
    1,023.97/1,413.60 = 631.22/x
  3. Step 3: Cross multiply
    1,023.97x = 1,413.60 × 631.22
  4. Step 4: Simplify right side
    1,023.97x = 892,292.59
  5. Step 5: Solve for x
    x = 892,292.59/1,023.97
  6. Step 6: Final answer
    x = 871.41

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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.