Home / 1,289.13-1,933.70-520.17

Finding the Fourth Proportional to 1,289.13, 1,933.70 and 520.17

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Solution

The fourth proportional to 1,289.13, 1,933.70 and 520.17 is: 780.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.13 : 1,933.70 = 520.17 : x
  2. Step 2: Convert to fraction form
    1,289.13/1,933.70 = 520.17/x
  3. Step 3: Cross multiply
    1,289.13x = 1,933.70 × 520.17
  4. Step 4: Simplify right side
    1,289.13x = 1,005,850.13
  5. Step 5: Solve for x
    x = 1,005,850.13/1,289.13
  6. Step 6: Final answer
    x = 780.26

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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.