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Finding the Fourth Proportional to 564.27, 778.80 and 407.43

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Solution

The fourth proportional to 564.27, 778.80 and 407.43 is: 562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 778.80 = 407.43 : x
  2. Step 2: Convert to fraction form
    564.27/778.80 = 407.43/x
  3. Step 3: Cross multiply
    564.27x = 778.80 × 407.43
  4. Step 4: Simplify right side
    564.27x = 317,305.72
  5. Step 5: Solve for x
    x = 317,305.72/564.27
  6. Step 6: Final answer
    x = 562.33

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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.