Home / 1,215.48-1,677.87-822.63

Finding the Fourth Proportional to 1,215.48, 1,677.87 and 822.63

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Solution

The fourth proportional to 1,215.48, 1,677.87 and 822.63 is: 1,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.48 : 1,677.87 = 822.63 : x
  2. Step 2: Convert to fraction form
    1,215.48/1,677.87 = 822.63/x
  3. Step 3: Cross multiply
    1,215.48x = 1,677.87 × 822.63
  4. Step 4: Simplify right side
    1,215.48x = 1,380,266.20
  5. Step 5: Solve for x
    x = 1,380,266.20/1,215.48
  6. Step 6: Final answer
    x = 1,135.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.