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Finding the Fourth Proportional to 564.71, 780.03 and 399.47

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Solution

The fourth proportional to 564.71, 780.03 and 399.47 is: 551.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.71 : 780.03 = 399.47 : x
  2. Step 2: Convert to fraction form
    564.71/780.03 = 399.47/x
  3. Step 3: Cross multiply
    564.71x = 780.03 × 399.47
  4. Step 4: Simplify right side
    564.71x = 311,594.68
  5. Step 5: Solve for x
    x = 311,594.68/564.71
  6. Step 6: Final answer
    x = 551.78

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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.