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Finding the Fourth Proportional to 564.68, 778.20 and 514.10

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Solution

The fourth proportional to 564.68, 778.20 and 514.10 is: 708.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.68 : 778.20 = 514.10 : x
  2. Step 2: Convert to fraction form
    564.68/778.20 = 514.10/x
  3. Step 3: Cross multiply
    564.68x = 778.20 × 514.10
  4. Step 4: Simplify right side
    564.68x = 400,072.62
  5. Step 5: Solve for x
    x = 400,072.62/564.68
  6. Step 6: Final answer
    x = 708.49

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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.