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Finding the Fourth Proportional to 1,241.12, 1,861.86 and 591.72

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Solution

The fourth proportional to 1,241.12, 1,861.86 and 591.72 is: 887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.12 : 1,861.86 = 591.72 : x
  2. Step 2: Convert to fraction form
    1,241.12/1,861.86 = 591.72/x
  3. Step 3: Cross multiply
    1,241.12x = 1,861.86 × 591.72
  4. Step 4: Simplify right side
    1,241.12x = 1,101,699.80
  5. Step 5: Solve for x
    x = 1,101,699.80/1,241.12
  6. Step 6: Final answer
    x = 887.67

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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.