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Finding the Fourth Proportional to 1,365.85, 2,049.10 and 391.92

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Solution

The fourth proportional to 1,365.85, 2,049.10 and 391.92 is: 587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.85 : 2,049.10 = 391.92 : x
  2. Step 2: Convert to fraction form
    1,365.85/2,049.10 = 391.92/x
  3. Step 3: Cross multiply
    1,365.85x = 2,049.10 × 391.92
  4. Step 4: Simplify right side
    1,365.85x = 803,086.13
  5. Step 5: Solve for x
    x = 803,086.13/1,365.85
  6. Step 6: Final answer
    x = 587.98

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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.