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Finding the Fourth Proportional to 869.64, 1,295.99 and 843.27

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Solution

The fourth proportional to 869.64, 1,295.99 and 843.27 is: 1,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.64 : 1,295.99 = 843.27 : x
  2. Step 2: Convert to fraction form
    869.64/1,295.99 = 843.27/x
  3. Step 3: Cross multiply
    869.64x = 1,295.99 × 843.27
  4. Step 4: Simplify right side
    869.64x = 1,092,869.49
  5. Step 5: Solve for x
    x = 1,092,869.49/869.64
  6. Step 6: Final answer
    x = 1,256.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.