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Finding the Fourth Proportional to 689.64, 1,035.06 and 324.64

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Solution

The fourth proportional to 689.64, 1,035.06 and 324.64 is: 487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.64 : 1,035.06 = 324.64 : x
  2. Step 2: Convert to fraction form
    689.64/1,035.06 = 324.64/x
  3. Step 3: Cross multiply
    689.64x = 1,035.06 × 324.64
  4. Step 4: Simplify right side
    689.64x = 336,021.88
  5. Step 5: Solve for x
    x = 336,021.88/689.64
  6. Step 6: Final answer
    x = 487.24

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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.