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Finding the Fourth Proportional to 827.36, 1,240.23 and 306.98

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Solution

The fourth proportional to 827.36, 1,240.23 and 306.98 is: 460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.36 : 1,240.23 = 306.98 : x
  2. Step 2: Convert to fraction form
    827.36/1,240.23 = 306.98/x
  3. Step 3: Cross multiply
    827.36x = 1,240.23 × 306.98
  4. Step 4: Simplify right side
    827.36x = 380,725.81
  5. Step 5: Solve for x
    x = 380,725.81/827.36
  6. Step 6: Final answer
    x = 460.17

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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.