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Finding the Fourth Proportional to 584.23, 873.73 and 519.63

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Solution

The fourth proportional to 584.23, 873.73 and 519.63 is: 777.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.23 : 873.73 = 519.63 : x
  2. Step 2: Convert to fraction form
    584.23/873.73 = 519.63/x
  3. Step 3: Cross multiply
    584.23x = 873.73 × 519.63
  4. Step 4: Simplify right side
    584.23x = 454,015.02
  5. Step 5: Solve for x
    x = 454,015.02/584.23
  6. Step 6: Final answer
    x = 777.12

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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.