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Finding the Fourth Proportional to 1,241.83, 1,862.75 and 420.11

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Solution

The fourth proportional to 1,241.83, 1,862.75 and 420.11 is: 630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.83 : 1,862.75 = 420.11 : x
  2. Step 2: Convert to fraction form
    1,241.83/1,862.75 = 420.11/x
  3. Step 3: Cross multiply
    1,241.83x = 1,862.75 × 420.11
  4. Step 4: Simplify right side
    1,241.83x = 782,550.59
  5. Step 5: Solve for x
    x = 782,550.59/1,241.83
  6. Step 6: Final answer
    x = 630.16

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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.