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Finding the Fourth Proportional to 1,215.92, 1,822.79 and 446.24

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Solution

The fourth proportional to 1,215.92, 1,822.79 and 446.24 is: 668.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.92 : 1,822.79 = 446.24 : x
  2. Step 2: Convert to fraction form
    1,215.92/1,822.79 = 446.24/x
  3. Step 3: Cross multiply
    1,215.92x = 1,822.79 × 446.24
  4. Step 4: Simplify right side
    1,215.92x = 813,393.81
  5. Step 5: Solve for x
    x = 813,393.81/1,215.92
  6. Step 6: Final answer
    x = 668.96

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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.