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Finding the Fourth Proportional to 1,215.59, 1,822.23 and 996.68

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Solution

The fourth proportional to 1,215.59, 1,822.23 and 996.68 is: 1,494.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.59 : 1,822.23 = 996.68 : x
  2. Step 2: Convert to fraction form
    1,215.59/1,822.23 = 996.68/x
  3. Step 3: Cross multiply
    1,215.59x = 1,822.23 × 996.68
  4. Step 4: Simplify right side
    1,215.59x = 1,816,184.75
  5. Step 5: Solve for x
    x = 1,816,184.75/1,215.59
  6. Step 6: Final answer
    x = 1,494.08

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1.5x scale

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.