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Finding the Fourth Proportional to 720.19, 994.38 and 458.66

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Solution

The fourth proportional to 720.19, 994.38 and 458.66 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.19 : 994.38 = 458.66 : x
  2. Step 2: Convert to fraction form
    720.19/994.38 = 458.66/x
  3. Step 3: Cross multiply
    720.19x = 994.38 × 458.66
  4. Step 4: Simplify right side
    720.19x = 456,083.10
  5. Step 5: Solve for x
    x = 456,083.10/720.19
  6. Step 6: Final answer
    x = 633.28

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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.