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Finding the Fourth Proportional to 1,372.96, 2,060 and 642.08

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Solution

The fourth proportional to 1,372.96, 2,060 and 642.08 is: 963.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.96 : 2,060 = 642.08 : x
  2. Step 2: Convert to fraction form
    1,372.96/2,060 = 642.08/x
  3. Step 3: Cross multiply
    1,372.96x = 2,060 × 642.08
  4. Step 4: Simplify right side
    1,372.96x = 1,322,684.80
  5. Step 5: Solve for x
    x = 1,322,684.80/1,372.96
  6. Step 6: Final answer
    x = 963.38

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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.