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Finding the Fourth Proportional to 689.68, 950.97 and 564.94

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Solution

The fourth proportional to 689.68, 950.97 and 564.94 is: 778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.68 : 950.97 = 564.94 : x
  2. Step 2: Convert to fraction form
    689.68/950.97 = 564.94/x
  3. Step 3: Cross multiply
    689.68x = 950.97 × 564.94
  4. Step 4: Simplify right side
    689.68x = 537,240.99
  5. Step 5: Solve for x
    x = 537,240.99/689.68
  6. Step 6: Final answer
    x = 778.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.