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Finding the Fourth Proportional to 564.92, 780.36 and 442.14

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Solution

The fourth proportional to 564.92, 780.36 and 442.14 is: 610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.92 : 780.36 = 442.14 : x
  2. Step 2: Convert to fraction form
    564.92/780.36 = 442.14/x
  3. Step 3: Cross multiply
    564.92x = 780.36 × 442.14
  4. Step 4: Simplify right side
    564.92x = 345,028.37
  5. Step 5: Solve for x
    x = 345,028.37/564.92
  6. Step 6: Final answer
    x = 610.76

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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.