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Finding the Fourth Proportional to 721.63, 1,084.23 and 461.75

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Solution

The fourth proportional to 721.63, 1,084.23 and 461.75 is: 693.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.63 : 1,084.23 = 461.75 : x
  2. Step 2: Convert to fraction form
    721.63/1,084.23 = 461.75/x
  3. Step 3: Cross multiply
    721.63x = 1,084.23 × 461.75
  4. Step 4: Simplify right side
    721.63x = 500,641.65
  5. Step 5: Solve for x
    x = 500,641.65/721.63
  6. Step 6: Final answer
    x = 693.77

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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.