Home / 1,564.29-2,346.99-743.22

Finding the Fourth Proportional to 1,564.29, 2,346.99 and 743.22

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Solution

The fourth proportional to 1,564.29, 2,346.99 and 743.22 is: 1,115.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,564.29 : 2,346.99 = 743.22 : x
  2. Step 2: Convert to fraction form
    1,564.29/2,346.99 = 743.22/x
  3. Step 3: Cross multiply
    1,564.29x = 2,346.99 × 743.22
  4. Step 4: Simplify right side
    1,564.29x = 1,744,329.91
  5. Step 5: Solve for x
    x = 1,744,329.91/1,564.29
  6. Step 6: Final answer
    x = 1,115.09

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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.