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Finding the Fourth Proportional to 564.54, 843.69 and 520.76

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Solution

The fourth proportional to 564.54, 843.69 and 520.76 is: 778.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.54 : 843.69 = 520.76 : x
  2. Step 2: Convert to fraction form
    564.54/843.69 = 520.76/x
  3. Step 3: Cross multiply
    564.54x = 843.69 × 520.76
  4. Step 4: Simplify right side
    564.54x = 439,355.79
  5. Step 5: Solve for x
    x = 439,355.79/564.54
  6. Step 6: Final answer
    x = 778.25

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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.