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Finding the Fourth Proportional to 1,241.95, 1,862.93 and 420.24

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Solution

The fourth proportional to 1,241.95, 1,862.93 and 420.24 is: 630.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.95 : 1,862.93 = 420.24 : x
  2. Step 2: Convert to fraction form
    1,241.95/1,862.93 = 420.24/x
  3. Step 3: Cross multiply
    1,241.95x = 1,862.93 × 420.24
  4. Step 4: Simplify right side
    1,241.95x = 782,877.70
  5. Step 5: Solve for x
    x = 782,877.70/1,241.95
  6. Step 6: Final answer
    x = 630.36

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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.