Home / 1,459.10-2,188.68-813.96

Finding the Fourth Proportional to 1,459.10, 2,188.68 and 813.96

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Solution

The fourth proportional to 1,459.10, 2,188.68 and 813.96 is: 1,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.10 : 2,188.68 = 813.96 : x
  2. Step 2: Convert to fraction form
    1,459.10/2,188.68 = 813.96/x
  3. Step 3: Cross multiply
    1,459.10x = 2,188.68 × 813.96
  4. Step 4: Simplify right side
    1,459.10x = 1,781,497.97
  5. Step 5: Solve for x
    x = 1,781,497.97/1,459.10
  6. Step 6: Final answer
    x = 1,220.96

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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.