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Finding the Fourth Proportional to 720.27, 994.12 and 468.51

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Solution

The fourth proportional to 720.27, 994.12 and 468.51 is: 646.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.27 : 994.12 = 468.51 : x
  2. Step 2: Convert to fraction form
    720.27/994.12 = 468.51/x
  3. Step 3: Cross multiply
    720.27x = 994.12 × 468.51
  4. Step 4: Simplify right side
    720.27x = 465,755.85
  5. Step 5: Solve for x
    x = 465,755.85/720.27
  6. Step 6: Final answer
    x = 646.64

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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.