Home / 1,742.00-2,612.36-509.09

Finding the Fourth Proportional to 1,742.00, 2,612.36 and 509.09

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Solution

The fourth proportional to 1,742.00, 2,612.36 and 509.09 is: 763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,742.00 : 2,612.36 = 509.09 : x
  2. Step 2: Convert to fraction form
    1,742.00/2,612.36 = 509.09/x
  3. Step 3: Cross multiply
    1,742.00x = 2,612.36 × 509.09
  4. Step 4: Simplify right side
    1,742.00x = 1,329,910.75
  5. Step 5: Solve for x
    x = 1,329,910.75/1,742.00
  6. Step 6: Final answer
    x = 763.44

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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.