Home / 1,226.30-1,837.98-706.68

Finding the Fourth Proportional to 1,226.30, 1,837.98 and 706.68

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Solution

The fourth proportional to 1,226.30, 1,837.98 and 706.68 is: 1,059.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.30 : 1,837.98 = 706.68 : x
  2. Step 2: Convert to fraction form
    1,226.30/1,837.98 = 706.68/x
  3. Step 3: Cross multiply
    1,226.30x = 1,837.98 × 706.68
  4. Step 4: Simplify right side
    1,226.30x = 1,298,863.71
  5. Step 5: Solve for x
    x = 1,298,863.71/1,226.30
  6. Step 6: Final answer
    x = 1,059.17

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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.