Home / 1,564.26-2,346.89-979.64

Finding the Fourth Proportional to 1,564.26, 2,346.89 and 979.64

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Solution

The fourth proportional to 1,564.26, 2,346.89 and 979.64 is: 1,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.26 : 2,346.89 = 979.64 : x
  2. Step 2: Convert to fraction form
    1,564.26/2,346.89 = 979.64/x
  3. Step 3: Cross multiply
    1,564.26x = 2,346.89 × 979.64
  4. Step 4: Simplify right side
    1,564.26x = 2,299,107.32
  5. Step 5: Solve for x
    x = 2,299,107.32/1,564.26
  6. Step 6: Final answer
    x = 1,469.77

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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.