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Finding the Fourth Proportional to 1,291, 1,935.66 and 520.84

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Solution

The fourth proportional to 1,291, 1,935.66 and 520.84 is: 780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291 : 1,935.66 = 520.84 : x
  2. Step 2: Convert to fraction form
    1,291/1,935.66 = 520.84/x
  3. Step 3: Cross multiply
    1,291x = 1,935.66 × 520.84
  4. Step 4: Simplify right side
    1,291x = 1,008,169.15
  5. Step 5: Solve for x
    x = 1,008,169.15/1,291
  6. Step 6: Final answer
    x = 780.92

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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.