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Finding the Fourth Proportional to 564.64, 778.98 and 328.55

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Solution

The fourth proportional to 564.64, 778.98 and 328.55 is: 453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.64 : 778.98 = 328.55 : x
  2. Step 2: Convert to fraction form
    564.64/778.98 = 328.55/x
  3. Step 3: Cross multiply
    564.64x = 778.98 × 328.55
  4. Step 4: Simplify right side
    564.64x = 255,929.98
  5. Step 5: Solve for x
    x = 255,929.98/564.64
  6. Step 6: Final answer
    x = 453.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.