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Finding the Fourth Proportional to 564.66, 779.22 and 328.66

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Solution

The fourth proportional to 564.66, 779.22 and 328.66 is: 453.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.66 : 779.22 = 328.66 : x
  2. Step 2: Convert to fraction form
    564.66/779.22 = 328.66/x
  3. Step 3: Cross multiply
    564.66x = 779.22 × 328.66
  4. Step 4: Simplify right side
    564.66x = 256,096.50
  5. Step 5: Solve for x
    x = 256,096.50/564.66
  6. Step 6: Final answer
    x = 453.54

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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.