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Finding the Fourth Proportional to 689.32, 1,033.64 and 364.60

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Solution

The fourth proportional to 689.32, 1,033.64 and 364.60 is: 546.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.32 : 1,033.64 = 364.60 : x
  2. Step 2: Convert to fraction form
    689.32/1,033.64 = 364.60/x
  3. Step 3: Cross multiply
    689.32x = 1,033.64 × 364.60
  4. Step 4: Simplify right side
    689.32x = 376,865.14
  5. Step 5: Solve for x
    x = 376,865.14/689.32
  6. Step 6: Final answer
    x = 546.72

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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.