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Finding the Fourth Proportional to 1,275.82, 1,914.09 and 506.86

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Solution

The fourth proportional to 1,275.82, 1,914.09 and 506.86 is: 760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.82 : 1,914.09 = 506.86 : x
  2. Step 2: Convert to fraction form
    1,275.82/1,914.09 = 506.86/x
  3. Step 3: Cross multiply
    1,275.82x = 1,914.09 × 506.86
  4. Step 4: Simplify right side
    1,275.82x = 970,175.66
  5. Step 5: Solve for x
    x = 970,175.66/1,275.82
  6. Step 6: Final answer
    x = 760.43

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1.5x scale

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.