Home / 1,413.32-2,120.22-591.56

Finding the Fourth Proportional to 1,413.32, 2,120.22 and 591.56

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Solution

The fourth proportional to 1,413.32, 2,120.22 and 591.56 is: 887.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.32 : 2,120.22 = 591.56 : x
  2. Step 2: Convert to fraction form
    1,413.32/2,120.22 = 591.56/x
  3. Step 3: Cross multiply
    1,413.32x = 2,120.22 × 591.56
  4. Step 4: Simplify right side
    1,413.32x = 1,254,237.34
  5. Step 5: Solve for x
    x = 1,254,237.34/1,413.32
  6. Step 6: Final answer
    x = 887.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.