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Finding the Fourth Proportional to 1,433.46, 1,977.78 and 873.90

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Solution

The fourth proportional to 1,433.46, 1,977.78 and 873.90 is: 1,205.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.46 : 1,977.78 = 873.90 : x
  2. Step 2: Convert to fraction form
    1,433.46/1,977.78 = 873.90/x
  3. Step 3: Cross multiply
    1,433.46x = 1,977.78 × 873.90
  4. Step 4: Simplify right side
    1,433.46x = 1,728,381.94
  5. Step 5: Solve for x
    x = 1,728,381.94/1,433.46
  6. Step 6: Final answer
    x = 1,205.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.