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Finding the Fourth Proportional to 689.62, 1,032.70 and 364.27

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Solution

The fourth proportional to 689.62, 1,032.70 and 364.27 is: 545.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.62 : 1,032.70 = 364.27 : x
  2. Step 2: Convert to fraction form
    689.62/1,032.70 = 364.27/x
  3. Step 3: Cross multiply
    689.62x = 1,032.70 × 364.27
  4. Step 4: Simplify right side
    689.62x = 376,181.63
  5. Step 5: Solve for x
    x = 376,181.63/689.62
  6. Step 6: Final answer
    x = 545.49

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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.