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Finding the Fourth Proportional to 827.47, 1,240.26 and 462.43

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Solution

The fourth proportional to 827.47, 1,240.26 and 462.43 is: 693.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.47 : 1,240.26 = 462.43 : x
  2. Step 2: Convert to fraction form
    827.47/1,240.26 = 462.43/x
  3. Step 3: Cross multiply
    827.47x = 1,240.26 × 462.43
  4. Step 4: Simplify right side
    827.47x = 573,533.43
  5. Step 5: Solve for x
    x = 573,533.43/827.47
  6. Step 6: Final answer
    x = 693.12

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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.