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Finding the Fourth Proportional to 1,295.32, 1,786.90 and 823.80

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Solution

The fourth proportional to 1,295.32, 1,786.90 and 823.80 is: 1,136.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.32 : 1,786.90 = 823.80 : x
  2. Step 2: Convert to fraction form
    1,295.32/1,786.90 = 823.80/x
  3. Step 3: Cross multiply
    1,295.32x = 1,786.90 × 823.80
  4. Step 4: Simplify right side
    1,295.32x = 1,472,048.22
  5. Step 5: Solve for x
    x = 1,472,048.22/1,295.32
  6. Step 6: Final answer
    x = 1,136.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.