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Finding the Fourth Proportional to 1,241.94, 1,862.68 and 574.68

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Solution

The fourth proportional to 1,241.94, 1,862.68 and 574.68 is: 861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.94 : 1,862.68 = 574.68 : x
  2. Step 2: Convert to fraction form
    1,241.94/1,862.68 = 574.68/x
  3. Step 3: Cross multiply
    1,241.94x = 1,862.68 × 574.68
  4. Step 4: Simplify right side
    1,241.94x = 1,070,444.94
  5. Step 5: Solve for x
    x = 1,070,444.94/1,241.94
  6. Step 6: Final answer
    x = 861.91

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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.