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Finding the Fourth Proportional to 564.80, 778.48 and 389.76

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Solution

The fourth proportional to 564.80, 778.48 and 389.76 is: 537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.80 : 778.48 = 389.76 : x
  2. Step 2: Convert to fraction form
    564.80/778.48 = 389.76/x
  3. Step 3: Cross multiply
    564.80x = 778.48 × 389.76
  4. Step 4: Simplify right side
    564.80x = 303,420.36
  5. Step 5: Solve for x
    x = 303,420.36/564.80
  6. Step 6: Final answer
    x = 537.22

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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.