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Finding the Fourth Proportional to 564.39, 778.68 and 389.43

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Solution

The fourth proportional to 564.39, 778.68 and 389.43 is: 537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.39 : 778.68 = 389.43 : x
  2. Step 2: Convert to fraction form
    564.39/778.68 = 389.43/x
  3. Step 3: Cross multiply
    564.39x = 778.68 × 389.43
  4. Step 4: Simplify right side
    564.39x = 303,241.35
  5. Step 5: Solve for x
    x = 303,241.35/564.39
  6. Step 6: Final answer
    x = 537.29

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1.5x scale

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.