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Finding the Fourth Proportional to 1,413.40, 1,950.18 and 889.24

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Solution

The fourth proportional to 1,413.40, 1,950.18 and 889.24 is: 1,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,413.40 : 1,950.18 = 889.24 : x
  2. Step 2: Convert to fraction form
    1,413.40/1,950.18 = 889.24/x
  3. Step 3: Cross multiply
    1,413.40x = 1,950.18 × 889.24
  4. Step 4: Simplify right side
    1,413.40x = 1,734,178.06
  5. Step 5: Solve for x
    x = 1,734,178.06/1,413.40
  6. Step 6: Final answer
    x = 1,226.95

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1.5x scale

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.