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Finding the Fourth Proportional to 1,276.10, 1,757.79 and 902.42

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Solution

The fourth proportional to 1,276.10, 1,757.79 and 902.42 is: 1,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.10 : 1,757.79 = 902.42 : x
  2. Step 2: Convert to fraction form
    1,276.10/1,757.79 = 902.42/x
  3. Step 3: Cross multiply
    1,276.10x = 1,757.79 × 902.42
  4. Step 4: Simplify right side
    1,276.10x = 1,586,264.85
  5. Step 5: Solve for x
    x = 1,586,264.85/1,276.10
  6. Step 6: Final answer
    x = 1,243.06

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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.