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Finding the Fourth Proportional to 733, 1,097.86 and 407.64

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Solution

The fourth proportional to 733, 1,097.86 and 407.64 is: 610.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    733 : 1,097.86 = 407.64 : x
  2. Step 2: Convert to fraction form
    733/1,097.86 = 407.64/x
  3. Step 3: Cross multiply
    733x = 1,097.86 × 407.64
  4. Step 4: Simplify right side
    733x = 447,531.65
  5. Step 5: Solve for x
    x = 447,531.65/733
  6. Step 6: Final answer
    x = 610.55

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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.