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Finding the Fourth Proportional to 1,252.10, 1,877.98 and 327.59

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Solution

The fourth proportional to 1,252.10, 1,877.98 and 327.59 is: 491.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,252.10 : 1,877.98 = 327.59 : x
  2. Step 2: Convert to fraction form
    1,252.10/1,877.98 = 327.59/x
  3. Step 3: Cross multiply
    1,252.10x = 1,877.98 × 327.59
  4. Step 4: Simplify right side
    1,252.10x = 615,197.26
  5. Step 5: Solve for x
    x = 615,197.26/1,252.10
  6. Step 6: Final answer
    x = 491.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.