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Finding the Fourth Proportional to 564.84, 779.22 and 398.66

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Solution

The fourth proportional to 564.84, 779.22 and 398.66 is: 549.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.84 : 779.22 = 398.66 : x
  2. Step 2: Convert to fraction form
    564.84/779.22 = 398.66/x
  3. Step 3: Cross multiply
    564.84x = 779.22 × 398.66
  4. Step 4: Simplify right side
    564.84x = 310,639.95
  5. Step 5: Solve for x
    x = 310,639.95/564.84
  6. Step 6: Final answer
    x = 549.96

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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.