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Finding the Fourth Proportional to 460.81, 691.82 and 442.29

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Solution

The fourth proportional to 460.81, 691.82 and 442.29 is: 664.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.81 : 691.82 = 442.29 : x
  2. Step 2: Convert to fraction form
    460.81/691.82 = 442.29/x
  3. Step 3: Cross multiply
    460.81x = 691.82 × 442.29
  4. Step 4: Simplify right side
    460.81x = 305,985.07
  5. Step 5: Solve for x
    x = 305,985.07/460.81
  6. Step 6: Final answer
    x = 664.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.