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Finding the Fourth Proportional to 1,241.60, 1,862.32 and 510.96

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Solution

The fourth proportional to 1,241.60, 1,862.32 and 510.96 is: 766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.60 : 1,862.32 = 510.96 : x
  2. Step 2: Convert to fraction form
    1,241.60/1,862.32 = 510.96/x
  3. Step 3: Cross multiply
    1,241.60x = 1,862.32 × 510.96
  4. Step 4: Simplify right side
    1,241.60x = 951,571.03
  5. Step 5: Solve for x
    x = 951,571.03/1,241.60
  6. Step 6: Final answer
    x = 766.41

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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.