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Finding the Fourth Proportional to 564.83, 779.50 and 328.78

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Solution

The fourth proportional to 564.83, 779.50 and 328.78 is: 453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.83 : 779.50 = 328.78 : x
  2. Step 2: Convert to fraction form
    564.83/779.50 = 328.78/x
  3. Step 3: Cross multiply
    564.83x = 779.50 × 328.78
  4. Step 4: Simplify right side
    564.83x = 256,284.01
  5. Step 5: Solve for x
    x = 256,284.01/564.83
  6. Step 6: Final answer
    x = 453.74

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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.