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Finding the Fourth Proportional to 1,869.21, 2,803.48 and 636.59

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Solution

The fourth proportional to 1,869.21, 2,803.48 and 636.59 is: 954.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,869.21 : 2,803.48 = 636.59 : x
  2. Step 2: Convert to fraction form
    1,869.21/2,803.48 = 636.59/x
  3. Step 3: Cross multiply
    1,869.21x = 2,803.48 × 636.59
  4. Step 4: Simplify right side
    1,869.21x = 1,784,672.75
  5. Step 5: Solve for x
    x = 1,784,672.75/1,869.21
  6. Step 6: Final answer
    x = 954.77

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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.