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Finding the Fourth Proportional to 689.07, 949.80 and 604.83

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Solution

The fourth proportional to 689.07, 949.80 and 604.83 is: 833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.07 : 949.80 = 604.83 : x
  2. Step 2: Convert to fraction form
    689.07/949.80 = 604.83/x
  3. Step 3: Cross multiply
    689.07x = 949.80 × 604.83
  4. Step 4: Simplify right side
    689.07x = 574,467.53
  5. Step 5: Solve for x
    x = 574,467.53/689.07
  6. Step 6: Final answer
    x = 833.69

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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.