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Finding the Fourth Proportional to 561.39, 837.97 and 520.73

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Solution

The fourth proportional to 561.39, 837.97 and 520.73 is: 777.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.39 : 837.97 = 520.73 : x
  2. Step 2: Convert to fraction form
    561.39/837.97 = 520.73/x
  3. Step 3: Cross multiply
    561.39x = 837.97 × 520.73
  4. Step 4: Simplify right side
    561.39x = 436,349.32
  5. Step 5: Solve for x
    x = 436,349.32/561.39
  6. Step 6: Final answer
    x = 777.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.