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Finding the Fourth Proportional to 523.26, 720.50 and 463.39

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Solution

The fourth proportional to 523.26, 720.50 and 463.39 is: 638.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.26 : 720.50 = 463.39 : x
  2. Step 2: Convert to fraction form
    523.26/720.50 = 463.39/x
  3. Step 3: Cross multiply
    523.26x = 720.50 × 463.39
  4. Step 4: Simplify right side
    523.26x = 333,868.38
  5. Step 5: Solve for x
    x = 333,868.38/523.26
  6. Step 6: Final answer
    x = 638.05

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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.