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Finding the Fourth Proportional to 689.92, 1,035.20 and 299.84

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Solution

The fourth proportional to 689.92, 1,035.20 and 299.84 is: 449.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.92 : 1,035.20 = 299.84 : x
  2. Step 2: Convert to fraction form
    689.92/1,035.20 = 299.84/x
  3. Step 3: Cross multiply
    689.92x = 1,035.20 × 299.84
  4. Step 4: Simplify right side
    689.92x = 310,394.37
  5. Step 5: Solve for x
    x = 310,394.37/689.92
  6. Step 6: Final answer
    x = 449.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.