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Finding the Fourth Proportional to 720.89, 994.67 and 458.81

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Solution

The fourth proportional to 720.89, 994.67 and 458.81 is: 633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.89 : 994.67 = 458.81 : x
  2. Step 2: Convert to fraction form
    720.89/994.67 = 458.81/x
  3. Step 3: Cross multiply
    720.89x = 994.67 × 458.81
  4. Step 4: Simplify right side
    720.89x = 456,360.72
  5. Step 5: Solve for x
    x = 456,360.72/720.89
  6. Step 6: Final answer
    x = 633.06

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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.