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Finding the Fourth Proportional to 573.78, 791.46 and 463.26

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Solution

The fourth proportional to 573.78, 791.46 and 463.26 is: 639.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.78 : 791.46 = 463.26 : x
  2. Step 2: Convert to fraction form
    573.78/791.46 = 463.26/x
  3. Step 3: Cross multiply
    573.78x = 791.46 × 463.26
  4. Step 4: Simplify right side
    573.78x = 366,651.76
  5. Step 5: Solve for x
    x = 366,651.76/573.78
  6. Step 6: Final answer
    x = 639.01

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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.