Home / 1,087.17-1,625.90-827.30

Finding the Fourth Proportional to 1,087.17, 1,625.90 and 827.30

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Solution

The fourth proportional to 1,087.17, 1,625.90 and 827.30 is: 1,237.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.17 : 1,625.90 = 827.30 : x
  2. Step 2: Convert to fraction form
    1,087.17/1,625.90 = 827.30/x
  3. Step 3: Cross multiply
    1,087.17x = 1,625.90 × 827.30
  4. Step 4: Simplify right side
    1,087.17x = 1,345,094.80
  5. Step 5: Solve for x
    x = 1,345,094.80/1,087.17
  6. Step 6: Final answer
    x = 1,237.24

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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.