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Finding the Fourth Proportional to 689.29, 950.23 and 440.42

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Solution

The fourth proportional to 689.29, 950.23 and 440.42 is: 607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.29 : 950.23 = 440.42 : x
  2. Step 2: Convert to fraction form
    689.29/950.23 = 440.42/x
  3. Step 3: Cross multiply
    689.29x = 950.23 × 440.42
  4. Step 4: Simplify right side
    689.29x = 418,498.09
  5. Step 5: Solve for x
    x = 418,498.09/689.29
  6. Step 6: Final answer
    x = 607.14

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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.