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Finding the Fourth Proportional to 689.69, 949.59 and 584.55

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Solution

The fourth proportional to 689.69, 949.59 and 584.55 is: 804.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.69 : 949.59 = 584.55 : x
  2. Step 2: Convert to fraction form
    689.69/949.59 = 584.55/x
  3. Step 3: Cross multiply
    689.69x = 949.59 × 584.55
  4. Step 4: Simplify right side
    689.69x = 555,082.83
  5. Step 5: Solve for x
    x = 555,082.83/689.69
  6. Step 6: Final answer
    x = 804.83

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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.