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Finding the Fourth Proportional to 723.72, 1,084.91 and 431.30

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Solution

The fourth proportional to 723.72, 1,084.91 and 431.30 is: 646.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.72 : 1,084.91 = 431.30 : x
  2. Step 2: Convert to fraction form
    723.72/1,084.91 = 431.30/x
  3. Step 3: Cross multiply
    723.72x = 1,084.91 × 431.30
  4. Step 4: Simplify right side
    723.72x = 467,914.10
  5. Step 5: Solve for x
    x = 467,914.10/723.72
  6. Step 6: Final answer
    x = 646.54

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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.