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Finding the Fourth Proportional to 564.62, 779.14 and 354.90

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Solution

The fourth proportional to 564.62, 779.14 and 354.90 is: 489.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.62 : 779.14 = 354.90 : x
  2. Step 2: Convert to fraction form
    564.62/779.14 = 354.90/x
  3. Step 3: Cross multiply
    564.62x = 779.14 × 354.90
  4. Step 4: Simplify right side
    564.62x = 276,516.79
  5. Step 5: Solve for x
    x = 276,516.79/564.62
  6. Step 6: Final answer
    x = 489.74

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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.