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Finding the Fourth Proportional to 1,433.80, 1,977.97 and 902.44

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Solution

The fourth proportional to 1,433.80, 1,977.97 and 902.44 is: 1,244.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.80 : 1,977.97 = 902.44 : x
  2. Step 2: Convert to fraction form
    1,433.80/1,977.97 = 902.44/x
  3. Step 3: Cross multiply
    1,433.80x = 1,977.97 × 902.44
  4. Step 4: Simplify right side
    1,433.80x = 1,784,984.84
  5. Step 5: Solve for x
    x = 1,784,984.84/1,433.80
  6. Step 6: Final answer
    x = 1,244.94

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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.