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Finding the Fourth Proportional to 1,215.05, 1,677.36 and 824.12

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Solution

The fourth proportional to 1,215.05, 1,677.36 and 824.12 is: 1,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.05 : 1,677.36 = 824.12 : x
  2. Step 2: Convert to fraction form
    1,215.05/1,677.36 = 824.12/x
  3. Step 3: Cross multiply
    1,215.05x = 1,677.36 × 824.12
  4. Step 4: Simplify right side
    1,215.05x = 1,382,337.54
  5. Step 5: Solve for x
    x = 1,382,337.54/1,215.05
  6. Step 6: Final answer
    x = 1,137.68

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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.