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Finding the Fourth Proportional to 1,292.96, 1,938.13 and 562.41

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Solution

The fourth proportional to 1,292.96, 1,938.13 and 562.41 is: 843.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.96 : 1,938.13 = 562.41 : x
  2. Step 2: Convert to fraction form
    1,292.96/1,938.13 = 562.41/x
  3. Step 3: Cross multiply
    1,292.96x = 1,938.13 × 562.41
  4. Step 4: Simplify right side
    1,292.96x = 1,090,022.29
  5. Step 5: Solve for x
    x = 1,090,022.29/1,292.96
  6. Step 6: Final answer
    x = 843.04

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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.