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Finding the Fourth Proportional to 1,782.18, 2,672.46 and 549.18

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Solution

The fourth proportional to 1,782.18, 2,672.46 and 549.18 is: 823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.18 : 2,672.46 = 549.18 : x
  2. Step 2: Convert to fraction form
    1,782.18/2,672.46 = 549.18/x
  3. Step 3: Cross multiply
    1,782.18x = 2,672.46 × 549.18
  4. Step 4: Simplify right side
    1,782.18x = 1,467,661.58
  5. Step 5: Solve for x
    x = 1,467,661.58/1,782.18
  6. Step 6: Final answer
    x = 823.52

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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.