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Finding the Fourth Proportional to 816.41, 1,126.91 and 522.47

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Solution

The fourth proportional to 816.41, 1,126.91 and 522.47 is: 721.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.41 : 1,126.91 = 522.47 : x
  2. Step 2: Convert to fraction form
    816.41/1,126.91 = 522.47/x
  3. Step 3: Cross multiply
    816.41x = 1,126.91 × 522.47
  4. Step 4: Simplify right side
    816.41x = 588,776.67
  5. Step 5: Solve for x
    x = 588,776.67/816.41
  6. Step 6: Final answer
    x = 721.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.