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Finding the Fourth Proportional to 720.95, 994.56 and 459.05

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Solution

The fourth proportional to 720.95, 994.56 and 459.05 is: 633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.95 : 994.56 = 459.05 : x
  2. Step 2: Convert to fraction form
    720.95/994.56 = 459.05/x
  3. Step 3: Cross multiply
    720.95x = 994.56 × 459.05
  4. Step 4: Simplify right side
    720.95x = 456,552.77
  5. Step 5: Solve for x
    x = 456,552.77/720.95
  6. Step 6: Final answer
    x = 633.27

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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.