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Finding the Fourth Proportional to 720.78, 994.73 and 459.15

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Solution

The fourth proportional to 720.78, 994.73 and 459.15 is: 633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.78 : 994.73 = 459.15 : x
  2. Step 2: Convert to fraction form
    720.78/994.73 = 459.15/x
  3. Step 3: Cross multiply
    720.78x = 994.73 × 459.15
  4. Step 4: Simplify right side
    720.78x = 456,727.98
  5. Step 5: Solve for x
    x = 456,727.98/720.78
  6. Step 6: Final answer
    x = 633.66

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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.