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Finding the Fourth Proportional to 721.08, 994.68 and 458.64

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Solution

The fourth proportional to 721.08, 994.68 and 458.64 is: 632.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.08 : 994.68 = 458.64 : x
  2. Step 2: Convert to fraction form
    721.08/994.68 = 458.64/x
  3. Step 3: Cross multiply
    721.08x = 994.68 × 458.64
  4. Step 4: Simplify right side
    721.08x = 456,200.04
  5. Step 5: Solve for x
    x = 456,200.04/721.08
  6. Step 6: Final answer
    x = 632.66

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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.