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Finding the Fourth Proportional to 1,242.15, 1,863.27 and 420.50

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Solution

The fourth proportional to 1,242.15, 1,863.27 and 420.50 is: 630.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.15 : 1,863.27 = 420.50 : x
  2. Step 2: Convert to fraction form
    1,242.15/1,863.27 = 420.50/x
  3. Step 3: Cross multiply
    1,242.15x = 1,863.27 × 420.50
  4. Step 4: Simplify right side
    1,242.15x = 783,509.69
  5. Step 5: Solve for x
    x = 783,509.69/1,242.15
  6. Step 6: Final answer
    x = 630.77

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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.