Home / 1,415.14-2,122.30-549.25

Finding the Fourth Proportional to 1,415.14, 2,122.30 and 549.25

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Solution

The fourth proportional to 1,415.14, 2,122.30 and 549.25 is: 823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415.14 : 2,122.30 = 549.25 : x
  2. Step 2: Convert to fraction form
    1,415.14/2,122.30 = 549.25/x
  3. Step 3: Cross multiply
    1,415.14x = 2,122.30 × 549.25
  4. Step 4: Simplify right side
    1,415.14x = 1,165,673.28
  5. Step 5: Solve for x
    x = 1,165,673.28/1,415.14
  6. Step 6: Final answer
    x = 823.72

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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.