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Finding the Fourth Proportional to 689.83, 951.91 and 395.11

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Solution

The fourth proportional to 689.83, 951.91 and 395.11 is: 545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.83 : 951.91 = 395.11 : x
  2. Step 2: Convert to fraction form
    689.83/951.91 = 395.11/x
  3. Step 3: Cross multiply
    689.83x = 951.91 × 395.11
  4. Step 4: Simplify right side
    689.83x = 376,109.16
  5. Step 5: Solve for x
    x = 376,109.16/689.83
  6. Step 6: Final answer
    x = 545.22

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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.