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Finding the Fourth Proportional to 523.69, 722.40 and 461.68

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Solution

The fourth proportional to 523.69, 722.40 and 461.68 is: 636.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.69 : 722.40 = 461.68 : x
  2. Step 2: Convert to fraction form
    523.69/722.40 = 461.68/x
  3. Step 3: Cross multiply
    523.69x = 722.40 × 461.68
  4. Step 4: Simplify right side
    523.69x = 333,515.83
  5. Step 5: Solve for x
    x = 333,515.83/523.69
  6. Step 6: Final answer
    x = 636.86

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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.