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Finding the Fourth Proportional to 720.94, 994.90 and 410.44

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Solution

The fourth proportional to 720.94, 994.90 and 410.44 is: 566.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.94 : 994.90 = 410.44 : x
  2. Step 2: Convert to fraction form
    720.94/994.90 = 410.44/x
  3. Step 3: Cross multiply
    720.94x = 994.90 × 410.44
  4. Step 4: Simplify right side
    720.94x = 408,346.76
  5. Step 5: Solve for x
    x = 408,346.76/720.94
  6. Step 6: Final answer
    x = 566.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.