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Finding the Fourth Proportional to 1,426.84, 1,969.32 and 902.50

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Solution

The fourth proportional to 1,426.84, 1,969.32 and 902.50 is: 1,245.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,426.84 : 1,969.32 = 902.50 : x
  2. Step 2: Convert to fraction form
    1,426.84/1,969.32 = 902.50/x
  3. Step 3: Cross multiply
    1,426.84x = 1,969.32 × 902.50
  4. Step 4: Simplify right side
    1,426.84x = 1,777,311.30
  5. Step 5: Solve for x
    x = 1,777,311.30/1,426.84
  6. Step 6: Final answer
    x = 1,245.63

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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.