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Finding the Fourth Proportional to 689.14, 950.43 and 564.81

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Solution

The fourth proportional to 689.14, 950.43 and 564.81 is: 778.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.14 : 950.43 = 564.81 : x
  2. Step 2: Convert to fraction form
    689.14/950.43 = 564.81/x
  3. Step 3: Cross multiply
    689.14x = 950.43 × 564.81
  4. Step 4: Simplify right side
    689.14x = 536,812.37
  5. Step 5: Solve for x
    x = 536,812.37/689.14
  6. Step 6: Final answer
    x = 778.96

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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.