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Finding the Fourth Proportional to 1,293.98, 1,787.78 and 902.75

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Solution

The fourth proportional to 1,293.98, 1,787.78 and 902.75 is: 1,247.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.98 : 1,787.78 = 902.75 : x
  2. Step 2: Convert to fraction form
    1,293.98/1,787.78 = 902.75/x
  3. Step 3: Cross multiply
    1,293.98x = 1,787.78 × 902.75
  4. Step 4: Simplify right side
    1,293.98x = 1,613,918.40
  5. Step 5: Solve for x
    x = 1,613,918.40/1,293.98
  6. Step 6: Final answer
    x = 1,247.25

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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.