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Finding the Fourth Proportional to 564.52, 778.84 and 354.60

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Solution

The fourth proportional to 564.52, 778.84 and 354.60 is: 489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.52 : 778.84 = 354.60 : x
  2. Step 2: Convert to fraction form
    564.52/778.84 = 354.60/x
  3. Step 3: Cross multiply
    564.52x = 778.84 × 354.60
  4. Step 4: Simplify right side
    564.52x = 276,176.66
  5. Step 5: Solve for x
    x = 276,176.66/564.52
  6. Step 6: Final answer
    x = 489.22

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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.