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Finding the Fourth Proportional to 564.92, 779.86 and 355.40

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Solution

The fourth proportional to 564.92, 779.86 and 355.40 is: 490.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 779.86 = 355.40 : x
  2. Step 2: Convert to fraction form
    564.92/779.86 = 355.40/x
  3. Step 3: Cross multiply
    564.92x = 779.86 × 355.40
  4. Step 4: Simplify right side
    564.92x = 277,158.34
  5. Step 5: Solve for x
    x = 277,158.34/564.92
  6. Step 6: Final answer
    x = 490.62

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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.