Home / 1,276.12-1,914.36-410.68

Finding the Fourth Proportional to 1,276.12, 1,914.36 and 410.68

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Solution

The fourth proportional to 1,276.12, 1,914.36 and 410.68 is: 616.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.12 : 1,914.36 = 410.68 : x
  2. Step 2: Convert to fraction form
    1,276.12/1,914.36 = 410.68/x
  3. Step 3: Cross multiply
    1,276.12x = 1,914.36 × 410.68
  4. Step 4: Simplify right side
    1,276.12x = 786,189.36
  5. Step 5: Solve for x
    x = 786,189.36/1,276.12
  6. Step 6: Final answer
    x = 616.08

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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.