Home / 1,228.30-1,841.76-406.12

Finding the Fourth Proportional to 1,228.30, 1,841.76 and 406.12

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Solution

The fourth proportional to 1,228.30, 1,841.76 and 406.12 is: 608.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.30 : 1,841.76 = 406.12 : x
  2. Step 2: Convert to fraction form
    1,228.30/1,841.76 = 406.12/x
  3. Step 3: Cross multiply
    1,228.30x = 1,841.76 × 406.12
  4. Step 4: Simplify right side
    1,228.30x = 747,980.74
  5. Step 5: Solve for x
    x = 747,980.74/1,228.30
  6. Step 6: Final answer
    x = 608.96

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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.