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Finding the Fourth Proportional to 689.96, 1,033.52 and 364.64

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Solution

The fourth proportional to 689.96, 1,033.52 and 364.64 is: 546.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.96 : 1,033.52 = 364.64 : x
  2. Step 2: Convert to fraction form
    689.96/1,033.52 = 364.64/x
  3. Step 3: Cross multiply
    689.96x = 1,033.52 × 364.64
  4. Step 4: Simplify right side
    689.96x = 376,862.73
  5. Step 5: Solve for x
    x = 376,862.73/689.96
  6. Step 6: Final answer
    x = 546.21

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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.