Home / 1,560.14-2,338.45-778.96

Finding the Fourth Proportional to 1,560.14, 2,338.45 and 778.96

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Solution

The fourth proportional to 1,560.14, 2,338.45 and 778.96 is: 1,167.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.14 : 2,338.45 = 778.96 : x
  2. Step 2: Convert to fraction form
    1,560.14/2,338.45 = 778.96/x
  3. Step 3: Cross multiply
    1,560.14x = 2,338.45 × 778.96
  4. Step 4: Simplify right side
    1,560.14x = 1,821,551.22
  5. Step 5: Solve for x
    x = 1,821,551.22/1,560.14
  6. Step 6: Final answer
    x = 1,167.56

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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.