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Finding the Fourth Proportional to 689.38, 950.33 and 564.84

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Solution

The fourth proportional to 689.38, 950.33 and 564.84 is: 778.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.38 : 950.33 = 564.84 : x
  2. Step 2: Convert to fraction form
    689.38/950.33 = 564.84/x
  3. Step 3: Cross multiply
    689.38x = 950.33 × 564.84
  4. Step 4: Simplify right side
    689.38x = 536,785.81
  5. Step 5: Solve for x
    x = 536,785.81/689.38
  6. Step 6: Final answer
    x = 778.65

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1.5x scale

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.