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Finding the Fourth Proportional to 1,292.88, 1,938.24 and 642.72

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Solution

The fourth proportional to 1,292.88, 1,938.24 and 642.72 is: 963.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.88 : 1,938.24 = 642.72 : x
  2. Step 2: Convert to fraction form
    1,292.88/1,938.24 = 642.72/x
  3. Step 3: Cross multiply
    1,292.88x = 1,938.24 × 642.72
  4. Step 4: Simplify right side
    1,292.88x = 1,245,745.61
  5. Step 5: Solve for x
    x = 1,245,745.61/1,292.88
  6. Step 6: Final answer
    x = 963.54

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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.