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Finding the Fourth Proportional to 854.28, 1,270.29 and 837.80

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Solution

The fourth proportional to 854.28, 1,270.29 and 837.80 is: 1,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.28 : 1,270.29 = 837.80 : x
  2. Step 2: Convert to fraction form
    854.28/1,270.29 = 837.80/x
  3. Step 3: Cross multiply
    854.28x = 1,270.29 × 837.80
  4. Step 4: Simplify right side
    854.28x = 1,064,248.96
  5. Step 5: Solve for x
    x = 1,064,248.96/854.28
  6. Step 6: Final answer
    x = 1,245.78

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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.