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Finding the Fourth Proportional to 1,338.76, 1,846.98 and 807.80

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Solution

The fourth proportional to 1,338.76, 1,846.98 and 807.80 is: 1,114.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,338.76 : 1,846.98 = 807.80 : x
  2. Step 2: Convert to fraction form
    1,338.76/1,846.98 = 807.80/x
  3. Step 3: Cross multiply
    1,338.76x = 1,846.98 × 807.80
  4. Step 4: Simplify right side
    1,338.76x = 1,491,990.44
  5. Step 5: Solve for x
    x = 1,491,990.44/1,338.76
  6. Step 6: Final answer
    x = 1,114.46

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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.