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Finding the Fourth Proportional to 662.48, 914.28 and 564.56

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Solution

The fourth proportional to 662.48, 914.28 and 564.56 is: 779.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.48 : 914.28 = 564.56 : x
  2. Step 2: Convert to fraction form
    662.48/914.28 = 564.56/x
  3. Step 3: Cross multiply
    662.48x = 914.28 × 564.56
  4. Step 4: Simplify right side
    662.48x = 516,165.92
  5. Step 5: Solve for x
    x = 516,165.92/662.48
  6. Step 6: Final answer
    x = 779.14

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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.