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Finding the Fourth Proportional to 564.81, 780.05 and 379.07

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Solution

The fourth proportional to 564.81, 780.05 and 379.07 is: 523.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.81 : 780.05 = 379.07 : x
  2. Step 2: Convert to fraction form
    564.81/780.05 = 379.07/x
  3. Step 3: Cross multiply
    564.81x = 780.05 × 379.07
  4. Step 4: Simplify right side
    564.81x = 295,687.76
  5. Step 5: Solve for x
    x = 295,687.76/564.81
  6. Step 6: Final answer
    x = 523.52

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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.