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Finding the Fourth Proportional to 1,241.92, 1,860 and 664

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Solution

The fourth proportional to 1,241.92, 1,860 and 664 is: 994.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,241.92 : 1,860 = 664 : x
  2. Step 2: Convert to fraction form
    1,241.92/1,860 = 664/x
  3. Step 3: Cross multiply
    1,241.92x = 1,860 × 664
  4. Step 4: Simplify right side
    1,241.92x = 1,235,040
  5. Step 5: Solve for x
    x = 1,235,040/1,241.92
  6. Step 6: Final answer
    x = 994.46

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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.