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Finding the Fourth Proportional to 564.78, 779.22 and 387.60

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Solution

The fourth proportional to 564.78, 779.22 and 387.60 is: 534.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.78 : 779.22 = 387.60 : x
  2. Step 2: Convert to fraction form
    564.78/779.22 = 387.60/x
  3. Step 3: Cross multiply
    564.78x = 779.22 × 387.60
  4. Step 4: Simplify right side
    564.78x = 302,025.67
  5. Step 5: Solve for x
    x = 302,025.67/564.78
  6. Step 6: Final answer
    x = 534.77

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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.