Home / 1,310.26-1,965.66-420.58

Finding the Fourth Proportional to 1,310.26, 1,965.66 and 420.58

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Solution

The fourth proportional to 1,310.26, 1,965.66 and 420.58 is: 630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.26 : 1,965.66 = 420.58 : x
  2. Step 2: Convert to fraction form
    1,310.26/1,965.66 = 420.58/x
  3. Step 3: Cross multiply
    1,310.26x = 1,965.66 × 420.58
  4. Step 4: Simplify right side
    1,310.26x = 826,717.28
  5. Step 5: Solve for x
    x = 826,717.28/1,310.26
  6. Step 6: Final answer
    x = 630.96

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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.