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Finding the Fourth Proportional to 1,242.23, 1,863.43 and 420.50

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Solution

The fourth proportional to 1,242.23, 1,863.43 and 420.50 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.23 : 1,863.43 = 420.50 : x
  2. Step 2: Convert to fraction form
    1,242.23/1,863.43 = 420.50/x
  3. Step 3: Cross multiply
    1,242.23x = 1,863.43 × 420.50
  4. Step 4: Simplify right side
    1,242.23x = 783,572.32
  5. Step 5: Solve for x
    x = 783,572.32/1,242.23
  6. Step 6: Final answer
    x = 630.78

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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.