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Finding the Fourth Proportional to 827.69, 1,240.81 and 463.01

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Solution

The fourth proportional to 827.69, 1,240.81 and 463.01 is: 694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.69 : 1,240.81 = 463.01 : x
  2. Step 2: Convert to fraction form
    827.69/1,240.81 = 463.01/x
  3. Step 3: Cross multiply
    827.69x = 1,240.81 × 463.01
  4. Step 4: Simplify right side
    827.69x = 574,500.08
  5. Step 5: Solve for x
    x = 574,500.08/827.69
  6. Step 6: Final answer
    x = 694.10

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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.