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Finding the Fourth Proportional to 689.33, 950.80 and 440.53

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Solution

The fourth proportional to 689.33, 950.80 and 440.53 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.33 : 950.80 = 440.53 : x
  2. Step 2: Convert to fraction form
    689.33/950.80 = 440.53/x
  3. Step 3: Cross multiply
    689.33x = 950.80 × 440.53
  4. Step 4: Simplify right side
    689.33x = 418,858.57
  5. Step 5: Solve for x
    x = 418,858.57/689.33
  6. Step 6: Final answer
    x = 607.63

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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.