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Finding the Fourth Proportional to 723.55, 1,084.45 and 415.62

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Solution

The fourth proportional to 723.55, 1,084.45 and 415.62 is: 622.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.55 : 1,084.45 = 415.62 : x
  2. Step 2: Convert to fraction form
    723.55/1,084.45 = 415.62/x
  3. Step 3: Cross multiply
    723.55x = 1,084.45 × 415.62
  4. Step 4: Simplify right side
    723.55x = 450,719.11
  5. Step 5: Solve for x
    x = 450,719.11/723.55
  6. Step 6: Final answer
    x = 622.93

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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.