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Finding the Fourth Proportional to 1,242.54, 1,863.87 and 549.21

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Solution

The fourth proportional to 1,242.54, 1,863.87 and 549.21 is: 823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.54 : 1,863.87 = 549.21 : x
  2. Step 2: Convert to fraction form
    1,242.54/1,863.87 = 549.21/x
  3. Step 3: Cross multiply
    1,242.54x = 1,863.87 × 549.21
  4. Step 4: Simplify right side
    1,242.54x = 1,023,657.43
  5. Step 5: Solve for x
    x = 1,023,657.43/1,242.54
  6. Step 6: Final answer
    x = 823.84

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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.