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Finding the Fourth Proportional to 1,292.72, 1,938.36 and 642.56

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Solution

The fourth proportional to 1,292.72, 1,938.36 and 642.56 is: 963.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.72 : 1,938.36 = 642.56 : x
  2. Step 2: Convert to fraction form
    1,292.72/1,938.36 = 642.56/x
  3. Step 3: Cross multiply
    1,292.72x = 1,938.36 × 642.56
  4. Step 4: Simplify right side
    1,292.72x = 1,245,512.60
  5. Step 5: Solve for x
    x = 1,245,512.60/1,292.72
  6. Step 6: Final answer
    x = 963.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.