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Finding the Fourth Proportional to 564.69, 842.07 and 519.81

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Solution

The fourth proportional to 564.69, 842.07 and 519.81 is: 775.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.69 : 842.07 = 519.81 : x
  2. Step 2: Convert to fraction form
    564.69/842.07 = 519.81/x
  3. Step 3: Cross multiply
    564.69x = 842.07 × 519.81
  4. Step 4: Simplify right side
    564.69x = 437,713.81
  5. Step 5: Solve for x
    x = 437,713.81/564.69
  6. Step 6: Final answer
    x = 775.14

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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.