Home / 1,229.10-1,842.30-709.35

Finding the Fourth Proportional to 1,229.10, 1,842.30 and 709.35

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Solution

The fourth proportional to 1,229.10, 1,842.30 and 709.35 is: 1,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,229.10 : 1,842.30 = 709.35 : x
  2. Step 2: Convert to fraction form
    1,229.10/1,842.30 = 709.35/x
  3. Step 3: Cross multiply
    1,229.10x = 1,842.30 × 709.35
  4. Step 4: Simplify right side
    1,229.10x = 1,306,835.51
  5. Step 5: Solve for x
    x = 1,306,835.51/1,229.10
  6. Step 6: Final answer
    x = 1,063.25

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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.