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Finding the Fourth Proportional to 689.19, 950.98 and 394.40

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Solution

The fourth proportional to 689.19, 950.98 and 394.40 is: 544.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.19 : 950.98 = 394.40 : x
  2. Step 2: Convert to fraction form
    689.19/950.98 = 394.40/x
  3. Step 3: Cross multiply
    689.19x = 950.98 × 394.40
  4. Step 4: Simplify right side
    689.19x = 375,066.51
  5. Step 5: Solve for x
    x = 375,066.51/689.19
  6. Step 6: Final answer
    x = 544.21

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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.