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Finding the Fourth Proportional to 721, 994.74 and 458.80

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Solution

The fourth proportional to 721, 994.74 and 458.80 is: 632.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    721 : 994.74 = 458.80 : x
  2. Step 2: Convert to fraction form
    721/994.74 = 458.80/x
  3. Step 3: Cross multiply
    721x = 994.74 × 458.80
  4. Step 4: Simplify right side
    721x = 456,386.71
  5. Step 5: Solve for x
    x = 456,386.71/721
  6. Step 6: Final answer
    x = 632.99

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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.