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Finding the Fourth Proportional to 854.52, 1,282.40 and 803.49

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Solution

The fourth proportional to 854.52, 1,282.40 and 803.49 is: 1,205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.52 : 1,282.40 = 803.49 : x
  2. Step 2: Convert to fraction form
    854.52/1,282.40 = 803.49/x
  3. Step 3: Cross multiply
    854.52x = 1,282.40 × 803.49
  4. Step 4: Simplify right side
    854.52x = 1,030,389.76
  5. Step 5: Solve for x
    x = 1,030,389.76/854.52
  6. Step 6: Final answer
    x = 1,205.82

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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.