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Finding the Fourth Proportional to 1,436.81, 2,155.61 and 571.73

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Solution

The fourth proportional to 1,436.81, 2,155.61 and 571.73 is: 857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.81 : 2,155.61 = 571.73 : x
  2. Step 2: Convert to fraction form
    1,436.81/2,155.61 = 571.73/x
  3. Step 3: Cross multiply
    1,436.81x = 2,155.61 × 571.73
  4. Step 4: Simplify right side
    1,436.81x = 1,232,413.27
  5. Step 5: Solve for x
    x = 1,232,413.27/1,436.81
  6. Step 6: Final answer
    x = 857.75

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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.